The Dutchman scored three times - twice against Romania and once against Estonia - in his country's World Cup qualifying victories during the recent hiatus in the club fixture programme.
The strikes end an unusually barren run domestically for van Persie, whose last strike came in the 2-0 win against Everton on 10 February. That was his 23rd goal in 31 matches, but in the seven games since then goals have been more difficult to come by.
"[Van Persie scoring] was the most pleasing thing about the break for me actually," declared Sir Alex at his press conference. "He got the three goals for Holland.
"It's the same with all strikers. When they hit that little dry spell, they're hoping to get out of it as quickly as they can.
"Hopefully, those goals for Holland will help him to do that. His form has not changed, that's the most important thing, but the goals will certainly help and there's no question about that."