Celtic claim a fee was agreed with Manchester City for John Guidetti prior to them taking the striker on loan.
Xabi Alonso claims no Premier League offers were put to him before leaving Real Madrid for Bayern Munich.
The Portuguese manager started his second stint at Stamford Bridge in the summer, and has vowed to stay for the long haul.
"I'm not here thinking about my next move because I don't want to have a next move," he told the Evening Standard.
"I will have a next move if and when Chelsea decides it's time for that.
"I'm here to stay. I belong to Chelsea, Chelsea belong to me. I gave a lot to Chelsea in the past but they also gave a lot to me. This is a different professional relationship."
Mourinho spent five years away from west London, in spells with Inter Milan and Real Madrid.
But the 50-year-old now feels his European odyssey is at an end, admitting to feeling settled with his family in London, back at the club he first led between 2004 and 2007.
"We kept our house (in London) from last time and, although we tried to hide it, we came lots of times," said Mourinho.
"The success I had in my career gave me the possibility to choose my destiny.
"When I made the decision I didn't know if Chelsea would be available and if the door would be open but when it did, the picture was perfect for me."