Avenatti posted on Twitter a statement by Daniels that said she apologised to her fans in Columbus, but she would not perform her previously scheduled Thursday night (Friday NZT) show.
The documented states, "In this case, there has been no evidence provided to the State that Defendant appears or has appeared regularly at Sirens", referring to Sirens Gentleman's Club, the Columbus strip club where the incident took place.
Daniels, 39, was released on $6,000 bail on three misdemeanor charges of illegally operating a sexually oriented business related to knowingly touching a patron.
She vowed to donate "all tips" to the lawyers' fees for two other dancers arrested with her.
OH law says a person who performs "nude or seminude on the premises of a sexually oriented business" are not allowed to be touched by patrons. Avenatti said he is skeptical of this account, and AP quotes him saying the intent of the undercover officers "did not appear to be to look for victims of human trafficking or prostitutes".
On Twitter, Avenatti wrote that the arrest was a "setup and politically motivated".
"They are devoting law enforcement resources to sting operations for this?"
Representatives for the Columbus Division of Police did not immediately respond to ABC News' request for comment.
Clifford sued Trump and his former personal attorney, Michael Cohen, to get out of a US$130,000 "hush agreement" she signed in October 2016 to keep silent about her alleged sexual encounter with Trump over a decade ago.
Earlier this week, Daniels performed in Washington, D.C., at the Cloakroom, minutes before President Donald Trump announced his Supreme Court nomination.
Through White House officials, Trump has denied the affair, although Cohen has admitted paying Daniels $130,000 as part of the agreement. Trump, who was married at the time of the alleged affair, has disputed her claims.