Rodgers worked with both men at Stamford Bridge having been brought to Chelsea by Mourinho to manage the club's youth team back in 2004.
Rodgers said: "He has always wanted to manage - it just shows that if you go in and you've got the right qualities then you'll get the opportunities.
"He was an academic before-hand, he's a good guy, he'll have a philosophy on how he wants it to work and he has gained some fantastic experience by working with Jose.
"Anyone who has worked with Jose will tell you that you take away so much in terms of your preparation and attention to detail. It certainly helped me, and André probably more so.
"You get to understand the detail and that extra little one per cent in your preparation that has benefited myself and my own philosophy.
"I'm sure that has been the same with André as well."