I've seen him linked if Lukaku goes to Chelsea but I'm not sure Wenger sells to a PL team.
From what I can gather Giroud wants to be a starter this season as he's worried about his place in the France squad for the Upcoming World Cup. If Wenger can't guarantee that and the player is unhappy with the situation then I think he'll sell and I think he'd sell to us as (unfortunately) we are not seen as a direct rival. Possibly the same with Everton as well. Obviously if it was a Man U, Chelsea etc then no he'd be loathed to sell to them. That said I've also heard that Lyon (where he is from I believe) and Marseille are interested, so maybe it's favourable for all if he heads back to Frogland for first team football.
Lots of conflicting reports though, some say he wants to stay at Arsenal, some that he'll leave but wants to stay in London, some that he wants to continue in the Premier League and some that he wants to go home to France so who knows.