Wright said Friday night he had been approached to run for president by members seeking better communication through the ranks. He said frustration over the contract talks with the Nutter administration also played a part in his candidacy.
"Not only have they been without a contract, but the members don't feel like their message was getting out to the public," he said.
Wright said he planned to call Mayor Nutter in the coming weeks.
Mark McDonald, a spokesman for Nutter, said the administration "looked forward to sitting down with representatives of DC 47."
"We'd like to resolve the contract issues," he said.
Union anger with Nutter has been boiling over, but some of the blame also may be falling on union leadership.
In May, members of Local 22, the firefighters' and paramedics' union, ousted then-president Bill Gault, a firebrand critic of the Nutter administration.
Local 22 has been locked in a number of battles with the administration, including a three-year dispute over the firefighters' contract.
The firefighters installed a new president, Joseph Schulle, who campaigned on healing relations with the administration. This month, the mayor agreed to settle the firefighters' contract.
The DC 47 election was not a vote of the full membership, but a poll of appointed delegates from the nine locals. Several other locals represent nonmunicipal employees.