In his remarks to the Israeli station, Hamad said the Salafi Nour Party is committed to agreements signed by previous Egyptian governments, including the 1979 peace treaty with Israel.
"We are not opposed to the agreement, and we are saying that Egypt is committed to the agreements that previous Egyptian governments have signed," he said, noting that if Egyptians want changes to the treaty, "the place for that is the negotiation table."
Israeli Foreign Ministry spokesman Yigal Palmor said the comments were worth considering: "This is certainly food for thought and we will of course keep observing very attentively developments in Egypt."
Many Israelis are concerned that Islamist parties are looking to cancel the peace treaty, the first between Israel and an Arab nation. The agreement is a pillar of security for both countries. For Israel, it has allowed diversion of military resources to other fronts. Egypt has benefited from billions of dollars in U.S. military aid.
Salafi Muslims follow a strict interpretation of Islam similar to that practiced in Saudi Arabia. The Salafi Nour Party in Egypt has so far won a quarter of the seats in Egypt's parliamentary elections, placing it second only to the more moderate Muslim Brotherhood.
After the interview aired, Hamad told the Associated Press that he did not know he was talking to Israeli Army Radio; he was told only that it was for an Israeli broadcaster. He said that had he known, he would not have agreed to the Army Radio interview because "they occupy our Palestinian brothers."
He also said that his party "without doubt" supports changes to the agreement, including raising troop levels in the Sinai Peninsula, which borders Israel.
"We call for full Sinai rights for Egypt and for our brothers in Palestine and occupied lands, and we see this as directly related to the agreement," he told the AP.
Israel withdrew from Sinai under the 1979 peace treaty.
The peace agreement defines that area of Sinai along Israel's border as a demilitarized zone, allowing only for Egyptian border guards, not troops. However, Israel has accepted temporary entry of several thousand Egyptian troops into Sinai to counter extremist Islamic activity there, including some violence, since the fall of Egyptian President Hosni Mubarak.
Relations between Israel and Egypt soured after one of the incidents, when Israeli forces killed six Egyptian soldiers while pursuing Palestinian militants who killed eight Israelis in September. Egyptian protesters then tore down a security wall around the building housing the Israeli Embassy in Cairo and stormed it.