After spending much of his two years at the club out on loan, first in Italy with Genoa and then back home with his old club Estudiantes, Boselli is back - with a massive point to prove.
"You can instantly see that Mauro is very happy in his private life at the moment," Martinez told the Wigan Observer.
"His season only finished on June 24, which made it a long, long campaign in which he scored a number of important goals.
"But he was desperate to rejoin the group here, come over to Austria and start playing games again.
"We are all excited about that prospect and we will all wait and see how that develops.
"We need to take it step by step - I don't think there's a need to look too far down the line, because he is coming in on the back of a very intense season.
"Hopefully the next week or so will show us how quickly he'll be able to help this group of players to get results next season."