Ince has taken over the role made vaceant by Mark Hughes' departure to local rivals Manchester City earlier this month.
Ince, who has managed at both Macclesfield and MK Dons in recent seasons, has spoken of the things he has learned from United boss Sir Alex Ferguson has he took over the Rovers post on Wednesday.
"The lessons I learned from Sir Alex are about his standards," Ince said.
"That's the main thing I can say about him.
"He's a fantastic boss and it's no coincidence that he's got so many ex- players managing in the Premier League.
"The characters, the choice of people he picks, his people around him, the aura about the man. I don't want to say too much or I'll give his secrets away.
"I was privileged to work for Sir Alex as his standards are unbelievable. I've been at other clubs where the standards haven't been as high. Hopefully, I can take that into my managerial career.
"I had a text off him to say 'Well done, congratulations but I'm under no illusions. I'm the enemy now. When we play United everything we went through together will go right out of the window."