Cole was substituted with 15 minutes left at Carrow Road for tactical reasons, but Mourinho revealed the player later complained of a problem and so would be examined, but did not expect any major impact on his place in the England squad for next week's World Cup qualifiers.
Mourinho said: "I didn't know (that Cole was injured). We were in a difficult position before. He had something in his ribs that we need to assess, but hopefully it's fine. But yes, it was a tactical decision.
"He goes for a scan now, when we arrive (back in London), on his ribs. I hope he is fine.
"I want England to do (well), so I hope he's fine."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball