"I'm glad that it (getting drafted) finally happened," Cozens told the newspaper. "I'm ready to get the show on the road."
He worked out for the Phillies and the Rangers before the draft and mashed 10 home runs in his workout with the Phillies.
"He is really interesting. That's probably the guy I'm most excited about," general manager Ruben Amaro Jr. said. "This is a kid that people knew about but were kind of (turned) off of for whatever reason. I love the guys's power, I mean extraordinary power for a kid; great body, runs well, seems to move pretty well. He looks like a pretty decent athlete."
He was kicked off the baseball team at Desert Mountain for an athletic code violation as a junior and ruled ineligible to play for 365 days after transferring.
According to a report, he played before the calendar year of ineligibility had elapsed, leading to more questions. He was ruled eligible to play and had a dominant senior season.
Rounds 2 through 15 are today, with the final 35 rounds set for Wednesday.
With the 95th overall pick, the Phillies chose righthander Alec Rash. Rash, from Adel Desoto Minburn High in Iowa, is 6-5, 195 and his fastball has hit 95 mph. He also throws a good slider, according to scouts. He is a Missouri signee. Rash is ranked 76th on MLB.com's list of the Top 100 prospects.
At No. 125, the Phillies selected shortstop Zachary Green from Jesuit High in Rocklin, Calif. He has signed to play at Oregon State. He is said to have good power and a strong arm. He hit .417 with 21 home runs as a senior.
In the fourth round, at No. 158, the Phillies went with a college player, selecting lefthanded hitting first baseman Christopher Serritella from Southern Illinois Carbondale. He broke a wrist last season, but came on strong last summer and with his senior season.
A third-team All-American as a senior, he left the Missouri Valley Conference with a .389 batting average and tied for the conference lead with 13 home runs. He also led the league in slugging percentage, on-base percentage, runs scored, hits, doubles and total bases.
In the fifth round, the Phillies selected high school outfielder Andrew Pullin from Centralia, Wash. Pullin, 6-foot, 185, is a lefthanded hitter who has signed with Oregon.
In the sixth round, the Phillies went back to a college player, choosing Purdue junior third baseman Cameron Perkins, a first-team All-Big Ten and All-Academic Big Ten. He hit .355 with nine home runs and 61 RBI for the Big Ten champion Boilermakers.
In Round 7, the Phillies selected Texas junior lefthander Hoby Milner, who is 7-4 with a 2.64 ERA this season. His father, Brian, played in the big leagues with Toronto.
In the eighth round, the Phillies drafted Baylor senior catcher Josh Ludy at No. 278. He is hitting .368 with 15 home runs and 68 RBI.
In Round 9 at No. 308 overall, the selection was righthander Jordan Guth, from the University of Wisconsin-Milwaukee. Guth was a starter last season, but moved to the bullpen this year.
In the 10th round at No. 338, the Phillies took Kevin Brady, a righthander from Clemson. His fastball can hit the mid-90s but is often just below that. Scouts project him as a possible setup man in the big leagues. Brady was 1-3 with a 2.54 ERA in 14 appearances, 11 as a starter. He was a reliever early in his college career before working as a starter last season.
In the 11th round, the Phillies selected William Carmona, a junior third baseman from SUNY Stony Brook. He hit .393, 12 home runs and 70 RBI in 60 games to help Stony Brook win its first NCAA regional title.
In the 12th round, they picked Zachary Taylor, a lefthanded-hitting junior outfielder from Armstrong Atlantic State University in Savannah, Ga. He hit .373 with 15 home runs and 71 RBI this season.
The Phillies closed out the 13th round with high school centerfielder Steven Golden from St. Francis in San Leandros, Calif. He is 6-3, 180 with a lean build and does not turn 18 until September.
In Round 14, the Phillies grabbed another high school arm, in righthander Richard Bielski from Servite High in California. He is 6-3, 190 and also does not turn 18 until the fall. He has been clocked as high as 94.
In the final pick of the day, No. 488 overall, the Phillies took Zach Cooper, a 5-10 righthander from Central Michigan who was chosen as first-team All-MAC. He was 7-2 with a 1.66 ERA in nine starts in league play. He finished the season with the third most innings pitched (108.1) and seventh most strikeouts (98) in school history for a single season.
The draft resumes Wednesday at noon, with rounds 16 to 40.
On Monday, the Phillies drafted two high school pitchers in the compensation round after Round 1. The Phillies did not have a first-round selection.
At No. 40, the Phillies chose righthander Shane Watson from Lakewood (Calif.) High School. He was 4-3 with a 1.19 ERA this spring.
At No. 54 overall, the Phillies righthander Mitch Gueller of W.F. West High in Chehalis, Wash. He was 6-0 with a 0.82 ERA this spring.
Among locals, the Mariners took Garnet Valley High School shortstop Joe DeCarlo in the second round with the 64th overall pick. DeCarlo is a signee with the University of Georgia. In the third round, the Cardinals selected Wake Forest lefty Tim Cooney, a Malvern Prep grad who is a junior Wake Forest. Christian Walker (Kennedy-Kenrick/South Carolina) was picked by the Orioles in the fourth round.
Check back for updates as the draft continues.
Daily News sports writer Ed Barkowitz contributed to this story.