Green said that as a receiver he feels confident up against most cornerbacks but Cromartie will be harder than most.
"He's a long corner," Green is quoted as saying by the Jets' official website. "He's a veteran corner. He's been around the league a long time, so I'm going to have to work him.
"Corners are going to get beat here and there," he added, "but I think he's one of the best in the league."
The Jets visit the Bengals on Sunday.