HITC Sport understands former Fulham boss is contender for Charlton job.
Relegated Charlton are searching for a new manager after Jose Riga tendered his resignation immediately after the Addicks’ final game of the season against Burnley.
Riga had returned to Charlton only four months ago, replacing interim boss Karel Fraeye, who had taken over from Guy Luzon in October, but he was unable to save Charlton from relegation to League One.
Charlton have endured a difficult season on and off the pitch with the club's supporters staging several protests aimed at their Belgian owners.
Chris Wilder appeared to be front-runner for the Charlton job after Northampton granted him permission to talk to the club, but the move fell through and Wilder ended up joining Sheffield United instead.
A number of names have been linked with the Charlton vacancy, but Welshman Symons is understood to figure highly on their wanted list.
Symons has been out of work since November after leaving Fulham following just over a year in charge at Craven Cottage.
The 44-year-old took charge at Fulham in October 2014 following the departure of Felix Magath and he helped the club secure survival in the Championship last season.