Hawks management has not said publicly whether they would like to re-sign Carter.
Carter and Dirk Nowitzki just completed their 21st NBA seasons and joined Robert Parish, Kevin Willis and Kevin Garnett as the longest-tenured players in league history. Another season, and Carter would be alone at the top of the list.
Carter, 42, appeared in 76 games for the Hawks this season. He averaged 7.7 points, 2.6 rebounds and 1.1 assists in 17.5 minutes. He eclipsed the 25,000 career point total. His 25,430 points rank 20th in league history.
The Hawks signed Carter to a one-year, $2.4 million deal in August.