Synonyms for Cut through:

n.

carry off, shrug off, manage, work out, cope. fly, outpace, hasten, gallop, dart, charge, surge, speed, race, be quick on your feet. bulldoze, squeeze, push, fight your way, cut. cut through (noun)
cut across, get across, cover, traverse, pass over, track, cross, get over.

v.

puncture (verb)
cut.

Other synonyms:

bulldoze. squeeze. push. cut.