Earlier on Friday, Mr Amesbury posted on X, external about attending a meeting with local residents about community safety and policing.
The politician, who has been a Labour MP in Cheshire since 2017, was also a shadow minister for local government when the party was in opposition.
In 2023, a 56-year-old man was convicted of stalking and harassing the MP at his constituency office and in Frodsham town centre.
The court heard the offender had stared through the office glass, asked guards about their level of security, and followed and confronted Mr Amesbury on several occasions.
At the time, Mr Amesbury said it had resulted in him feeling “that little bit more anxious”.
