The edge rusher has been on the market since the middle of March, reportedly seeking offers in the neighborhood of $20 million annually. He's been linked to the Tennessee Titans, New York Jets, and Cleveland Browns, among others.
"I have not narrowed down a final team," he said. "I'm still open."
Clowney is coming off a three-sack season with the Seattle Seahawks but had 18.5 sacks over two previous seasons with the Houston Texans.
The 27-year-old has spent the bulk of his offseason rehabbing after core muscle surgery.