Reid, whose Chiefs side come up against the Redskins on Sunday, said that Fletcher's best asset is the fact that he is always ready to make big plays for the team.
"I've got a lot of respect for him, a ton of respect," he told the Chiefs' official website. "He is readily available, all the time; you're absolutely right on that.
"It seems like forever since he was with the St Louis Rams, playing those championship games and it's amazing that he's still doing it and doing it well. He's not only doing it, but he's doing it very well."
Fletcher has been playing for the Redskins since 2007.