For those of us outside of the Israeli military the best we can do is Pray for the success of their mission. The Below are English translations of some appropriate prayers. They are NOT the only prayers, available ask your Rabbi or religious leader for other prayer suggestions:

Prayer for the State of Israel:

Our Father in Heaven, Rock and Redeemer of the people Israel; Bless the State of Israel, with its promise of redemption. Shield it with Your love; spread over it the shelter of Your peace. Guide its leaders and advisers with Your light and Your truth. Help them with Your good counsel. Strengthen the hands of those who defend our Holy Land. Deliver them; crown their efforts with triumph. Bless the land with peace, and its inhabitants with lasting joy. And let us say: Amen.

Psalm 142:

Maschil of David, when he was in the cave; a Prayer. With my voice I cry unto HaShem; with my voice I make supplication unto HaShem. I pour out my complaint before Him, I declare before Him my trouble; When my spirit fainteth within me–Thou knowest my path–in the way wherein I walk have they hidden a snare for me. Look on my right hand, and see, for there is no man that knoweth me; I have no way to flee; no man careth for my soul. I have cried unto Thee, O HaShem; I have said: ‘Thou art my refuge, my portion in the land of the living.’ Attend unto my cry; for I am brought very low; deliver me from my persecutors; for they are too strong for me. Bring my soul out of prison, that I may give thanks unto Thy name; the righteous shall crown themselves because of me; for Thou wilt deal bountifully with me