to cut one's way through; to fight one's way through (the enemy)
to get over; to come through; to overcome (a difficulty)
何とか最初の難関を切り抜けた。
I somehow managed to get through the first hurdle.
今まさにその危機的状況を切り抜けている。
Right now I'm in the middle of fighting my way through that crisis.
ピンチを切り抜ける力が彼にはある。
He has the ability to get through difficult situations.