And he'll have a chance to back up his words Wednesday when the Cowboys open the season against the Giants.
But as far as Cruz is concerned, it's a non-issue.
The Giants receiver said on Monday that he "could care less" about Carr's guarantee.
When asked about Carr's comments, Cruz initially said he hadn't heard about them. But when pressed, he admitted he was aware of them, but didn't care to add any fuel to the fire.
"I can’t feed into that," he said. "It’s cool."
Back in late March, Carr, the Cowboys' $50 million free-agent corner, said on ESPN's NFL Live that he planned on shutting Cruz out of the end zone.
"I want to use all my body (to stop Cruz)," Carr said. "I'm 6-foot, 200 pounds. I know he's got to run through me to get wherever he's running, so I'm going to be patient at the line. All that salsa dancing, that's fine, but you've got to come through me. I don't plan on seeing no dancing."
It's worth noting, however, that Cruz had 12 catches for an eye-popping 252 yards against Dallas last season.
Speaking in general terms, Cruz said he and the Giants gain motivation when someone tells them they can't do something.
"We respond a lot better ... when you tell us that we can’t do something. You tell us we are 7-7 and we are not going to be able to make the playoffs and we still have all our goals in sight, we want to prove those guys wrong," Cruz said.