The coaches will be on temporary leave during the probe into an alleged “violation of the NWSL Policy to Prevent and Eliminate Workplace Discrimination, Harassment, and Bullying,” the statement said.
CNN has attempted to reach Cromwell and Greene for comment.
Assistant coach Seb Hines has been named interim coach.
The Pride said via Twitter Tuesday that it was cooperating in the investigation and committed to “providing a respectful environment and adhering to all league policies.”
The joint NWSL and NWSLPA statement said the action was part of an ongoing investigation that began in October into allegations of workplace misconduct against players, along with “systemic issues in the league that impact the prevention, detection, and response to misconduct.”
The investigation is looking at complaints of discrimination, harassment, abuse or bullying within all 12 NWSL teams. The league has agreed to the union demand of an immediate suspension of “any person in a position of power” being investigated for possible abuse.
CNN has been unable to reach Clarkson or his representatives for comment.