The 29-year-old attacking midfielder was on the books of the Hammers for a season-and-a-half following his move from Marseille in the summer of 2015.
In a recent interview with French newspaper L’Equipe, Payet stated that he was not happy with the defensive system used by West Ham manager Slaven Bilic.
The former Lille star also revealed that he was bored at the Hammers, and claimed that he risked regressing at the London Stadium and needed another challenge.
West Ham vice-chairman Brady has hit back at the France international attacking midfielder and has given him some sound advice - move on.
“Dimitri Payet says he got bored when West Ham went through a bad patch,” Brady wrote in her football diary in The Sun. “Some excuse to go on strike that is. His reason at the time was his family were unhappy in England.
“Payet did well with us and we did well by him. He regained his international spot and, while we had defensive problems at the start of the season (a few pop up today at Bournemouth, too), a decent pro doesn’t withdraw his labour. “He, like us, should just move on.”