Sheringham has been linked with the vacant managerial seat at Fratton Park.
A former striker for the South Coast club, Sheringham, 49, netted 10 goals in 28 appearances when the club were in the Premier League in the 2003/04 season.
He also played for Nottingham Forest, Tottenham Hotspur and Manchester United, and he is currently employed by West Ham as an attacking coach for Sam Allardyce’s men.
His work on the training ground has been linked to the success that Diafra Sakho and Enner Valencia have enjoyed in their debut seasons in England, and the News report indicates that Sheringham is keen to take on his first role as a full-time head coach.
His lack of management experience does not tie in with Pompey’s desire to hire from the lower leagues to ensure a candidate with a record of promotions, although it is hard to deny his experience of top flight football will help the club as they look to get back to their Premier League status.
With Allardyce’s future at the Boleyn Ground looking under threat, it is as yet unknown whether Sheringham will follow the 60-year-old out the door this summer. If so, Portsmouth will surely look at a potential hiring, even if it would be his first managerial job in professional football.