Home Affairs committee chairman Keith Vaz said it is "worrying" that Police and Crime Commissioners "seem able to side-step the statutory process for dismissing a chief constable".
Mr Vaz said: "Police and Crime Panels should make more active use of their powers to scrutinise decisions such as this.
"We will be returning to this area when we carry out our next major inquiry into Polic eand Crime Commissioners, towards the end of this year."
More top news
Toys R Us has scrapped its four collectible dolls based on the characters of the hit TV series Breaking Bad after a campaign by a US mother
Late actress Lynda Bellingham shared how she planned to spend Christmas during a moving final interview on Loose Women to be broadcast later