Schaub made his comments on the same day the NFL will review an incident from the Texans' Thanksgiving Day game against the Lions in which the Detroit defensive tackle appeared to connect his left cleat with Schaub's groin.
The NFL said Monday afternoon that Suh would not be suspended for the incident.
"Our office has notified the Lions that N Suh will not be suspended for last Thursday's incident. It will be reviewed for a potential fine," league spokesman Greg Aiello tweeted.
When asked earlier Monday in an interview with SportsRadio 610 in Houston whether he would ever want Suh to be his teammate with the Texans, Schaub said, "No."
"You don't want a player like that. The stuff that he stands for and the type of player he is, that's not Houston Texan-worthy," Schaub said. "That's not what we're about as a football team, as individuals, collectively as a group, we're not that type of person."
Suh was on his chest, taken down by an offensive lineman, when he extended his left foot below Schaub's belt. Suh didn't talk to reporters after the game.
Last year on Thanksgiving, Suh was ejected for stomping on the right arm of Green Bay offensive lineman Evan Dietrich-Smith. He later was suspended for two games.
One source close to Suh said he is "young and aggressive and truly trying to do whatever he can to help his team win" even if "it just doesn't always seem to manifest itself that way."
Information from ESPN NFL Insiders Adam Schefter, Ed Werder and The Associated Press was used in this report.