The legal papers have been served in a sex abuse case launched by Australian Virginia Giuffre, who claims Prince Andrew sexually assaulted her three times in 2001.
"The Duke of York has essentially been playing cat and mouse with the legal representation of Virginia Giuffre," Mr Myers told Sky News host Peta Credlin.
"It's been a complete wall of silence from the Duke, and certainly my understanding of the last couple of weeks is that Prince Andrew's inner circle has been really putting pressure on him to dump his legal team and to have a new tact.
"But it seems as though his hand has been forced, and he will have to pursue some sort of defence now."