Multiple targets (From FF Rulebook)- Multiple ranged combat targets. All characters have one ( ), two ( ), or three ( ) lightning bolt symbols printed
next to their range values. The number of lightning bolts is the number
of different targets the character can target with a single ranged combat
attack. A character can’t target the same character more than once during a ranged combat attack. If a character attacks more than one target, that character must be able to draw a clear line of fire to each target. A character can use its full range against each character targeted. A character is not required to target as many characters as it has lightning bolts. When your character attempts to affect more than one target with a ranged combat attack, you make only one attack roll; compare this attack total to every target’s defense value. Some targets with low defense values might be affected, while others with high defense values might not be affected. Whenever you target multiple opposing characters with a single ranged combat attack, divide the attacker’s damage value any way you choose among the successfully hit targets; a successfully hit target can be dealt 0 damage or any nonfractional amount of damage, provided that all damage dealt is divided among the successfully hit targets.

Guns Blazing- Give Hitman a power action. He makes two separate ranged combat attacks as free actions (making two separate attack rolls against two different target opposing characters). Resolve the first attack before making the second; if he loses Guns Blazing before making the second attack, he can�t make the second attack.

My question is, can you assign Ambidextrous to Hitman and have him use the for each attack?

I see nothing preventing him from doing so.

Guns blazing allows you to make two Ranged Combat Attacks. The Lightning Bolts only says you can have more than one target for a Ranged Combat Attack. Nothing prevents you from targeting more than one person for each attack. The caveat is that he couldn't attack the same two targets in his second Gun Blazing attack that he did in his first Guns Blazing attack.

That's what I'm thinking, based on the wording, I just wanted to make sure that I wasn't missing something before I assigned him the feat.

I now want to try this. I will also use SI Punisher for more ambidextrous fun!

just to point out a few things.
If you have 1 person based with hitman that would be the only target you can have since he still can not shoot out of adjacency.

If he has only one character based to him he would not be able to use his SP since when you declare the action both targets must be legal targets.
you can't attack the one adjacent to you hope you KO them then target someone else.

Fun 300 point Soldier team:

Hitman w/ambidextrous
SI Punisher w/ambidextrous
Starlord w/alias
Rookie Domino
=300 points of gun blazing fun

Team noted for use at a later date... Maybe make it 400 and add Avengers Cap for some Ultimates fun.