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
Two suicide bombs in a crowded market place in the north-western city of Parachinar have left 40 people dead and a further 12 injured.
Expect cloudy conditions with some light rain on Saturday morning before brighter spells develop later in the southeast.
More than 140 people are missing and feared to have been buried under debris following a landslide in China.