The American Family Association is collecting petition signatures in opposition to the scuplture titled "Accept or Reject."
The bronze work depicts a woman with an open blouse taking a picture of herself with a cellphone.
The statue is on display at the Overland Park Arboretum and Botanical Gardens.
Opponents contend it violates anti-obsecinty laws and should be investigated by a grand jury.
The Kansas City Star reports petitions with about 4,700 signatures have been turned over to Johnson County, Kansas, election officials.
