"We have not offered Carl to a single team," Cherington told USA Today. "We have not pursued anything on Carl Crawford. Carl is our left fielder."
Said Crawford: "I hadn't heard too much about it but there's really nothing to say about it. I just have to be ready to play everyday because those kinds of things come up. I just shrug it off."
Crawford added that he was "still surprised right now" that his name came up. The non-waiver Trade Deadline is July 31.
Manager Bobby Valentine was not surprised by the rumors but doesn't think it will affect Crawford's performance.
"I just heard them, I'm not surprised at anything with the way stuff is made up and blown up," Valentine said. "I'm never surprised. I think Carl is tough, he'll be fine."
The left fielder said he has not been approached by anyone in the Red Sox organization about the validity of the rumors.
On Monday, Crawford played his first game with Boston this season. He missed 89 games with a UCL sprain in his left elbow that likely will require Tommy John surgery in the offseason. In two games, Crawford is 4-for-7 with three steals, four runs and one RBI.
"It's not the first time I've been involved in that before, so I know how to handle that," Crawford said. "I'm not going to try to do like anything extra."
As for the Marlins, they too were caught off-guard by the rumors.
"I just found out today," Marlins manager Ozzie Guillen said. "One of my kids asked me about it. I don't know anything about it. The front office never said anything about it."
Like Valentine, Guillen believes he can still perform despite the trade speculation.
"I don't think it should be a distraction, because when we are in the position we are, there are going to be rumors," he said. "They're going to try to add better players, and we've got some good players who can help. But it's all rumors."