The English centre-back has recently renewed his contract at the club for another four years.
The new deal was met with some skepticism by United fans, who had hoped Jones would be moved on in the summer.
But the defender is not apologising for himself - and is fully confident in his ability to continue succeeding at the club.
Jones said to reporters of the criticism: "I don't lose sleep about what people say about me. It's football.
"I'm going to get criticism in the future, I've had criticism in the past.
"Honestly, I genuinely don't care. I have a wonderful family and wonderful friends. I play football for Man United, I've been given an extra contract and I'm grateful for that."