Bucky says nothing either. He only nods once at Carlos before taking off at a run in the direction he pointed. Between him and Thor the target had been moderately injured, he shouldn't have got far by this point, Bucky can still kill him.

He's relieved when Thor doesn't follow, still full of anger at the Asgardian for his interference in the first place (and uncertain of his ability to stop him should they come to trading blows again). It doesn't matter though because despite his best efforts he won't find Tom again this arena, the chance has passed him by, leaving only frustration in its wake.