Wyatt said that "early indications" are that the team is "leaning toward" giving Mettenberger a chance to prove himself, and passing on Oregon quarterback Marcus Mariota and Florida State quarterback Jameis Winston.
Winston won the 2013 Heisman Trophy, while leading Florida State to the national title. Mariota won it in 2014, leading Oregon to the national championship game.
"We like Zach, and I think Zach has the tools to play and start in the league," said Titans general manager Ruston Webster.
Webster added that the team would do its "due diligence" and evaluate both Winston and Mariota at the NFL Combine.
Mettenberger, a rookie last season, was installed as starting quarterback in late October. He was winless in six starts before missing the final three games of the season with a shoulder injury. He passed for 1,412 yards with eight touchdowns and seven interceptions.