The Frenchman is enjoying his richest form in front of goal since joining the club five years ago.
"He's playing with a smile on his face," Solskjaer told Sky Sports.
"Anthony has had a really good season, he's been really important for us. We felt it during the couple of months he was out injured; we struggled.
"But he knows that we trust him. He knows that we'll have patience with him and that we'll keep working with him."
The manager also revealed: "He's working hard in the gym.
"He's enjoying the physical challenge more."