He also signaled his willingness to join a single Palestinian governing body for the Gaza Strip, Judea and Samaria after the war.
Newly-installed Israeli Foreign Minister Israel Katz vowed last week to make the return of the hostages his ministry’s top priority.
On Tuesday, dozens of family members of hostages converged on the Kerem Shalom crossing between Israel and Gaza, with the aim of blocking aid passing into the Hamas-ruled enclave.
"We will not allow the introduction of humanitarian equipment into Gaza while the sick and wounded are held captive by Hamas," the families said in a statement.
Shai Vankert, father of hostage Omer, said: "We will reach the Kerem Shalom crossing to prevent goods and medicine from entering the Gaza Strip. My son is sick with colitis, and since Oct. 7 he has not seen a doctor. It is impossible that at this time hundreds of trucks are entering Gaza."
Police prevented the group from reaching the crossing area, which is designated a closed military zone.
