Frazier's non-profit runs the city-owned Granite Park.
His federal lawsuit alleges that former city officials discriminated against Frazier by releasing an incomplete audit of the park's financial documents in 2018.
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It now also accuses Smittcamp and Dyer of damaging Frazier's reputation by announcing investigations that have led to no charges or changes so far.
Smittcamp's office said she does not have a comment at this point because she has yet to be served.
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Mayor Dyer sent Action News a statement calling the lawsuit frivolous and far-reaching, noting it names two mayors, three city managers, two council members, the city attorney, and the DA.
It goes on to say in part, "As the mayor, I have a fundamental responsibility to protect the City of Fresno's financial interest and to ensure that our parks are being operated in an appropriate manner."