"Harry was asked a question about which ex-players he'd like to work with and my name was mentioned was Les Ferdinand and Tim Sherwood," Sheringham told the Daily Mirror.
"I've not spoken to Harry at all about it and all the talk of me returning to Spurs is just rumour so far.
"But if Harry asked me the question about a coaching job, I would definitely listen to what he has to say."
While he holds his former Pompey mentor in high regard, the 42-year-old believes there is a dearth of talent when it comes to British managers in the modern game.
"Unfortunately there are not a lot of great English managers about," the former Manchester United striker added.
"Terry Venables was a great boss but maybe his time has been and gone.
"Maybe one of the younger English managers, some of my ex-team-mates, will be a great boss in the future."