He has no doubts that Rooney would have been focused on the World Cup even if he had not signed a new deal with United but is pleased the five-and-a-half year contract for the striker removes any uncertainty.
Hodgson, speaking in Nice after the Euro 2016 draw, said: "I trust Wayne and even if his future hadn't been settled in this way he could have still focused on the World Cup.
"It must be nice for him to know he's committed the bulk of his best playing years to Manchester United and England, so we're very happy for him and very happy for Manchester United and ourselves as well.
"Wayne, I'm sure, is a future captain of England because we are losing some of the famous players of the past who have served England so well.
"Steven Gerrard's playing magnificently for Liverpool and has been a major factor in their season so far, and I wouldn't want to write him off [for Euro 2016] but maybe when the day comes for Gerrard to hang up his boots, Wayne will be straight in there I'm sure."
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