Rooney became the fourth member of United's 200-goal club with his two goals in the 4-2 Champions League win over the Germans, joining Jack Rowley, Denis Law and Sir Bobby Charlton, who tops United's list of goalscorers with 249.
And Van Persie, who scored his sixth of the season with an acrobatic effort after Leverkusen skipper Simon Rofles had levelled Rooney's opener, couldn't speak more highly of his strike partner.
"I love to play alongside Wayne," said the Dutchman.
"He has a bit of everything. He can go up front, he can play in behind. He can play the short game and the longer game."
Rooney spent much of the summer at the centre of a protracted transfer wrangle.
Though he seemed certain to join Chelsea at one point, United stood firm, although Rooney has still not stated his desire to remain at Old Trafford in the long-term.
"Listen, I'm concentrating on my football as I have done all summer. I've put my head down, worked hard to get myself fit for the season. I'm pleased with the way I have come back and delighted that I am scoring goals," Rooney told ITV Sport.
When Rooney was then asked whether he had asked for a move, he snapped back: "Listen, I've just told you, I am concentrating on my football which I've been doing all summer."
With Antonio Valencia also getting on the scoresheet, United produced their best performance since the opening-day Premier League triumph at Swansea.
"I was very pleased with our team performance," said Van Persie.
"I thought we played well. When we had the ball we were very confident on it and everyone did their bit."
Meanwhile, United have written to supporters insisting they are happy with their business during the transfer window.
A letter, signed on behalf of United's director of communications Phil Townsend, sent in response states: "The club had two main priorities for the transfer window. The first was to keep Wayne Rooney. He is a world-class player and the manager is very keen to have Wayne as a key part of the club's drive to retain the Premier League trophy. That aim was fulfilled.
"The second priority was to add a midfield player, and the capture of Marouane Fellaini has met that need.
"Additional resources were there to add to that but it was not possible to agree with other clubs for the right players to leave.
"The club has always backed the manager in the transfer market and it will continue to do so. The club has demonstrated its belief in, and commitment to, David Moyes through the award of a six-year contract.
"Allowing him to shape the future Manchester United team is a long term project not an eight-week panic. He must be given time to assess his new squad and come to his own decisions on which players he feels will strengthen it."
I agree with you mostik. I also agree with what RvP has to say about Rooney and find him (Rooney) to be generally underrated, especially by non Englishmen.- infiniteclones