Beckham will join AC Milan in January on a loan until the end of the season but could then make his move permanent.
Hateley believes Beckham’s move will prolong his England career.
“I think it will be a good move for David,” Hateley told Setanta Sports News. “Moving back into the limelight, another great club to have on his CV, and moving to a club that likes to play football can only be good.
“He wants to still play for England and is getting ever nearer the top cap holder and there will be no better place for him to go.
“It will suit his style playing in Italy, it is not crash, bang, wallop and playing in a side full of big stars will make his job a lot easier than it is at Galaxy.
“It is a slower pace, a bit more disciplined, and that is why it is a slower form of the game and at this stage of his career, it will be better for him.
“Fitness is not a problem for him and he is still one of the best suppliers of a pass-cum-cross in world football.
“David is still technically up with the best and the pace of the game will suit him down to the ground.
“I think he went to America too early. I still feel he was capable of playing at a top side. The powers that be around him felt it was the right time, but now that has settled down he can move back to the next stage of his career.
“England is primary for him now. Fabio has committed to David by saying if he is fit and playing he will be up for selection.”