The pair exchanged barbs over an apparent dive by Heung-min Son during United's win on Sunday.
Asked about Mourinho's comments, Solskjaer said: "I think every manager has a certain values.
"When I got sent off against Newcastle many, many years ago I thought I did the right thing for the club.
"Sir Alex Ferguson absolutely lambasted me after the game 'We don't win that way at Man United'
"We want to win playing by the book."