The 33-year-old will remain with the Nerazzurri on trial for 15 days after which the Italian giants will decide whether to offer him a contract or not.
"With [Diego] Milito's injury the club wanted to look around to see if there's a certain type of player who might fit our purposes," BBC Sport quotes Stramaccioni as saying.
"Obviously we're talking about free agents within a certain date, so the options are limited. Our directors have identified that type of player in Carew and now he's going to have a trial with us.
"Then we'll decide whether to sign him or not. It's a fairly normal procedure in other countries."
Carew has been without a club since last summer when he left West Ham United.