Financial terms were not disclosed.
Cromartie could also be the Cardinals' answer to defending tight ends. At 6-foot-2, he'd match up better with the likes of the St. Louis Rams' Jared Cook and San Francisco 49ers' Vernon Davis than Powers or any of the Cardinals' safeties. And if Cromartie lined up across from a tight end, in the slot possibly, Tyrann Mathieu would be capable of sliding to the corner spot on the edge.
The Jets released Cromartie this offseason rather than pay a $5 million roster bonus. His ouster was expected because of a prohibitive cap charge -- $14.98 million -- in the final year of his contract.
The Jets made no attempt to renegotiate, according to Cromartie, but he said the team left open the possibility for a return.
Cromartie played in the Pro Bowl as an alternate, but he admittedly had a disappointing season. He was hampered by a hip-flexor injury the entire year, hindering his ability to turn and run with receivers.
He said he's healthy now and that his goal is to play eight more years. He spent four seasons with the Jets after arriving in a trade with the San Diego Chargers.
His best season was 2012, when he replaced injured Darrelle Revis as the team's No. 1 corner and made the second Pro Bowl of his career.
Cromartie has 28 career interceptions, returning three for touchdowns.
ESPN.com Cardinals reporter Josh Weinfuss and Jets reporter Rich Cimini contributed to this report.