The winner of the Professional Footballers' Association award will be named later this month and the Football Writers' Association's choice is announced in May. Regarding Parker, Grant said: "I think, without any doubt, that he's the player of the year. I don't see any player that is better than him.
"And if you also want to nominate a player who's a good example, it's good for everybody. He's a player who always gives everything, always trains well, is always positive and always gives everything for the team.
"Remember we played sometimes, in the first half of the season, without 10 players, and all the midfielders around him and the forwards kept needing to change and he was the only one that stayed and kept us [in the fight].
"If we are in a position that we can stay in the league it's because we took points in the first half of the season, sometimes without 10 or 11 players. And he played and he was very good."
Parker's consistent form has also led Fabio Capello to recall him to the England squad and the 30-year-old started the 2-0 victory over Wales in last weekend's Euro 2012 qualifier.
When in charge of Chelsea Grant managed Frank Lampard, Dider Drogba and John Terry, and he names Parker among the best footballers he has coached. "His attitude is very good," he said. "You start when you are young because you love it and you have passion for it. But sometimes you see players who, because they have money now, they forget it. But Scotty always plays like it's his first game."
Grant is impressed with Parker away from the pitch, too. "It's very important. Sometimes we need to understand that these are young players. But they are also examples [role models]. If you take someone who has, no doubt, been a good example then it's good for the young players now."
Grant said of a player who has scored seven goals in 36 games in this campaign: "This season is his best season. I always like when my players play their best when I'm around. He can be even a little bit better, but he's taking the maximum from himself all the time," the manager said.
Grant also believes Parker could yet be a target for Manchester United or any of the other top teams. "He would fit in. Our target for West Ham for the long term is that we will have five or six players that all the top teams will want."
Grant was disappointed Rob Green did not play any part in Tuesday's friendly with Ghana. The goalkeeper was dropped following his mistake in the opening group game against the US in last summer's World Cup. Asked if it was unfair not to give the player a chance, Grant said: "Yes. Firstly the manager changed all the team. Secondly if you look at Rob Green in the last games, in the last month, he was the best goalkeeper in the country."
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