Eriksson is delighted to see Walcott back in the England squad for the first time since he selected him for the 2006 World Cup.
"I think Walcott will be an international player," said Eriksson. "He got some experience from the World Cup in 2006, even though he didn't play.
"Pace in football is a very good thing and he is one of the quickest I have ever seen. He is better than Thierry Henry over short distances. Would I bring him to City? I would take him at once but I don't think Arsene Wenger will sell him."