Former Arsenal man Robin van Persie will, along with the rest of his United team-mates, receive a guard of honour from the home side, after his hat-trick against Aston Villa on Monday night secured the title, coming at the end of his first season at Old Trafford.
Wenger expects his players and staff to be respectful to the Dutchman upon his return.
He said: "We will respect the players that have played for us a long time as we always have done and treat them well before and after the game.
"As a champion or not as a champion it is exactly the same.
"What I want is for us to have a good game and to beat them, it doesn't matter what kind of status they come with."
A win for Arsenal over Manchester United will cement their place in the top four, but they will be without striker Olivier Giroud. He starts a three-match suspension after his sending-off at Fulham.
There are currently two points separating the Gunners and their rivals, Chelsea and Tottenham, as they battle it out for the two remaining Champions League spots.
Chelsea are at home to Swansea on Sunday, with interim Blues boss Rafa Benitez hoping his work at Stamford Bridge can stand him in good stead as he searches for a new job this summer.
He said: "I have to do my job. If you are asking me how I will be remembered (at Chelsea) - professional, working hard and trying to do my best.
"People can see what I have achieved in the past. We are talking two years ago, not 20 years ago.
"I'm managing a top side and in the circumstances we are doing a good job. We can achieve another title and finish in the top three."
Tottenham travel to relegation-threatened Wigan on Saturday, and should have winger Aaron Lennon back to fitness after he suffered a knee injury three weeks ago.
The 26-year-old has been a key man for Spurs this season, and took part in training on Wednesday.
Manager Andre Villas-Boas will have a near full-strength side heading to the DW Stadium, although Younes Kaboul continues to be treated for a thigh strain. Spurs are hopeful the defender will play again before the end of term.
Wigan goalkeeper Ali Al Habsi is confident the Latics can survive in the Premier League for the eighth successive year.
He said: "The squad, the staff and the fans are all ready for the fight.
"We've got three games at home starting with Spurs and the fans will be crucial for us because they know just how effective they can be.
"The most important thing is not to put big pressure on ourselves and just play our game because that is the way that the results will come."
Elsewhere in the relegation fight, bottom two sides Reading and QPR will battle it out at the Madejski Stadium on Sunday knowing they may both be relegated this weekend if results do not go their way.
Both sides are 10 points behind 17th-placed Aston Villa, who head to Sunderland on Monday night.
Saturday's Premier League Fixtures
Man City vs West Ham
Everton vs Fulham
Southampton vs West Brom
Stoke vs Norwich
Wigan vs Tottenham
Newcastle vs Liverpool
Sunday's Premier League Fixtures
Reading vs QPR
Chelsea vs Swansea
Arsenal vs Man United
Monday's Premier League Fixture
Aston Villa vs Sunderland