Despite being heavily involved in the summer transfer window, the Gunners are yet looking to secure the future of the club.
Arsenal have reportedly sent scout to watch Celtic international Moussa Dembele, while they have also retained interest in Germany international Marco Reus.
Dembele was impressive for Celtic on Wednesday night when they hosted Manchester City in the Champions League at Celtic Park. Dembele scored a brace on the night.
Arsenal are not left alone in the chase of the player, Real Madrid, Bayern Munich and Tottenham are all keeping tabs on the player, and the report claims Arsenal “could make a January move” for him.
but Hoops boss Brendan Rodgers has made it clear he intends to hold onto the French forward.
He said: “We’re fortunate to have him. He was coveted by a number of teams but his agent is a clever guy.
“Does he go to a so-called better league and sit on the bench and not get so many games?
“Or does he come to a big club with an opportunity to develop and invest some time into his development, and then step up if that’s what he wants to o?
Wenger has left Giroud on the bench more often than not this term and his recent preference for Sanchez in attack means Giroud might be ousted sooner.