The Three Lions manager is hopeful that the veteran PSG midfielder will remain in football in some capacity after announcing his decision to call time on his playing career
The 38-year-old announced he will retire at the end of the current season after two decades at the top level that included spells with the likes of Manchester United, Real Madrid and LA Galaxy.
|25/1||David Beckham is 25/1 with BetVictor to be the next manager of England
"I congratulate him on a glittering career and wish him well in the future, whatever he chooses to do, and I personally hope that will be in football," he said.
"It’s a strange week for me first seeing Rio retire, not so long back John Terry and now David Beckham, it does seem that a golden era may be approaching its end.
"But the players I’m working with now and the players of the future have got some very important people to look up to. If they can get anywhere close to those players, I think our future in England is pretty well assured."
Hodgson also expressed his hope that Beckham remains within the sport of football in some capacity, and thanked him for his support while he has been manager of England.
He added: "David is a man with many talents and a lot of people will now be offering him different jobs, different roles, some of which could take him away from football, but I’m rather hoping we will be able to keep him in football.
"We could benefit from his experience, we could benefit from his charisma, and benefit from the magnificent past he has had as a football player.
"He has been very good since I have become national coach.
"I didn’t know him too well before taking the job, but since I have been appointed he has been unbelievably supportive, if only with things like text messages wishing us luck. In David Beckham England has a big fan, a great supporter."