The 31-year-old spent 12 years at Old Trafford, making 229 appearances and scoring six goals, before becoming a free agent.
It has since been revealed, Jones will take up a position on a global football sport directorship course, and is working on his coaching badges.
Writing on social media, he said: "Start of a new journey," with several pictures showing him coaching at United's training base.
"Great to begin the global football sport directorship course with the PFA business school, learning new things about the game, whilst also continuing to push ahead with my A licence and badges at the club that gave me so much.
"Excited to get started."
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Jones opted to call time at Man United after being blighted by injuries over last few years, and has been able to sign for a new club outside of the transfer window.
However, it appears he is focusing on the next stage of his career rather than seeking out a new playing team.
Jones made just 13 appearances in all competitions over the last three seasons, failing to feature last term.
His last appearance for the Red Devils was the 4-0 drubbing against Liverpool in April last year, under the tenure of interim-boss Ralf Rangnick.
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"It's been very difficult, the last couple of years," Jones previously said.
"There is no hiding away from that.
"My family have been absolutely instrumental in keeping me on the straight and narrow and keeping me focused, to try to get fit and try to play more.
"And, you know, I've missed playing football. I missed it."