The 24-year-old scored 17 goals in all competitions after the Norwegian's arrival.
And after earning a return to the France squad recently, Lloris commented on his impression of Martial's resurgence.
"I don't know if it's related to his relationship with Solskjaer. We can see he is more confident," Lloris said ahead of facing Croatia in the Nations League.
"There is a very good understanding with the players around him at Manchester United.
"He will be expected, he will have to confirm his good season. He is committed to doing well for five, 10 minutes, a half or a whole game."