The apparent move reignited the row with London Mayor Sadiq Khan.
The Mail on Sunday reported that a review into what was described as the mayor’s “shambolic sacking” will be headed by Sir Tom Windsor, the Chief Inspector of Constabulary.
The Home Office was unable to confirm or deny the report, but City Hall struck back.
A source said: “It’s absolutely bizarre that the Home Secretary has decided to waste taxpayers’ money on a politically-motivated inquiry to defend the Met Commissioner when in the past two weeks alone the commissioner has overseen another two devastating scandals at the Met.
“This is a cynical and childish move from a Home Secretary that is more interested in petty politics than in doing her job of keeping the public safe and fixing her refugee scheme for families fleeing Ukraine.”
It was also being argued there is no process to investigate because the commissioner resigned rather than attending a meeting with Mr Khan to discuss the proposals.
Dame Cressida quit on February 11 after the mayor expressed his displeasure with her response to widespread public outrage over offensive messages exchanged by a group of officers based at Charing Cross police station.
The Met’s Deputy Commissioner Sir Stephen House wrote to Ms Patel calling for an inquiry into the handling of her departure.
Dentro 2008, Sir Ian Blair resigned as commissioner after losing the support of then-London mayor, and now Prime Minister, Boris Johnson.
A spokeswoman for the mayor defended him in response to reports of Ms Patel’s inquiry, saying public trust in Scotland Yard is “at the lowest level on record, following a series of devastating scandals including the murder of Sarah Everard by a serving police officer and the overt racism, sexism, misogyny, homophobia and discrimination exposed at Charing Cross Police Station”.
“The Mayor is clear that the Met’s next leader must demonstrate they understand the depths of the problems faced by the force and have a plan to restore the trust and confidence of Londoners," ela adicionou.