He maintained that if he intended to change parties, he would have already done so.
The political friction peaked the same afternoon as House lawmakers voted on a $3.3 billion aid package for Israel.
While the measure passed, the opposing votes from over 100 Democrats signaled a growing shift in the party's foreign policy consensus.
Former House Speaker Nancy Pelosi said, "The American people are rightly demanding an end to a perpetual cycle of war, and the Netanyahu government cannot maintain its current course."
The legislative tension follows separate efforts in April by independent Senator Bernie Sanders to block specific military sales to Israel.
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A majority of Democratic senators supported those measures, though Fetterman rejected both attempts.