The former California governor is currently promoting new autobiography Total Recall, in which he discusses his career and his marriage to Shriver.
According to TMZ, friends close to Shriver have said that she is upset about a recent 60 Minutes interview Schwarzenegger did to promote the book.
Producers for the show apparently contacted Shriver after the film was shot for comment on the book, and were told she had "no interest" in contributing a quote.
A source said: "The piece is a blowjob for Arnold. Lesley Stahl just fawned over him."
Schwarzenegger revealed in the book that Shriver confronted him about his love child with a maid shortly before the pair divorced.