McDermott is not a fan of sacking managers, let alone when they have won what Roberto Di Matteo had, but he concedes that for as long as owner Roman Abramovich puts up the money, he can hire and fire as he pleases.
"The only thing I would say about Chelsea is that before Roman Abramovich came in they hadn't won too much," McDermott said.
"Then in the last nine or 10 years they have won a lot. He's the owner, it's his prerogative to do what he has to do.
"I look at other owners who haven't backed their manager and then sack them every five minutes - I have an issue with that.
"If the owner is backing the manager and getting the best players in the world then he can do what he likes. If he said to me, 'Come on Brian, come and manage Chelsea' and he backed me and I didn't do well and he gave me a load of money to go, I would take that.
"That's how it works. But I have an issue with owners who don't - they talk the talk but don't back the manager. That he decided to sack Di Matteo after winning the Champions League is amazing."