Clark went into the weekend with a chance to have a winning record, but the Astros were swept in three games by another underachieving team, the New York Mets.
"I managed 13 games with guys who really wanted to play, who played hard and went about it the right way," Clark told reporters on Sunday. "I couldn't have asked for anything more."
Clark, who planned to return to his home outside Memphis on Monday, will get an interview for the 2010 Astros manager's job.
He has the public support of several players who have spoken out, including a fellow Mississippi native, pitcher Roy Oswalt.
"I think Dave would do a good job," Oswalt told MLB.com. "He knows the game well. I think the biggest attribute is he demands a lot from the players. He sticks with what he does best, and I think he would be great for this team."
Whoever's in the dugout will be working with a roster that's likely to get shaken up after the team spent a record $107 million to win 74 games and finish fifth in the six-team National League Central Division.