The 20-year-old has been thriving in recent seasons and he has become a key player for the Hammers, who are pushing for European football this term.
If Manuel Pellegrini can guide West Ham to a top-seven finish this season then it would increase their chances of keeping their best assets, but if they don't then it wouldn't be a surprise if other clubs come knocking.
Speaking to The Alan Brazil Sports Breakfast Show on TalkSport (11/09/2019 08:45 am), Cottee admitted that he could see Rice moving on, but he hopes he stays on at the London Stadium.
Whether he can see Maguire and Rice partnership at Manchester United: “Yes, you can,” Cottee told TalkSport.“I do like him [Rice] as a centre-back. I think he will end up there.
“That's what you are buying. You're buying a holding midfielder player, but you are also buying a player that can play centre-half in a back four and in a back three as well. So, you are getting a really, really top player.
“I am sure Manchester United would want him. I am sure Manchester City would want him in that holding role, though they have just bought Rodri. Of course, let's not forget, he did grow up as a Chelsea fan. Maybe once their embargo [is lifted], they'll be looking as well. There are many, many teams that will be interested in Dec, but I want him to stay at West Ham. And to do that they need to win or cup or get into Europe."
The fact that Rice can play in a number in a number of positions, his age and now that he is a fully-fledged England international, it increases his profile.
After a heavy opening day defeat to Manchester City, Pellegrini has managed to get his team back on track as they picked up some good form before the international break.
On Monday night, they will take on newly-promoted Aston Villa, who have lost three out of their four Premier League matches, so far.
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