Boselli struck twice in the 4-1 rout.
Martinez said: "He looked strong, he looked very sharp with his build-up play and then that clinical finishing in front of goal.
"I was very, very pleased with his work, it is now a matter of allowing him to settle into the Barclays Premier League.
"He had real good opportunity on Saturday and today, he wasn't afraid to get in good positions to score goals.
"He showed mental strength and how focused he is to be a success this season and to enjoy his football. If he is at his best he will be a real asset for us."