Wolverhampton councillor Bhupinder Gakhal, who represents Wednesfield South, insists there was "no option" but to shut down the station due to Government funding cuts.
In a bid to reassure residents he said the move would not see a reduction of police officers in the area.
The Labour councillor, who sits on Mr Foster's strategic policing board, said: "The police have closed reception desks and now obviously stations are closing. It is obviously down to Government funding.
"No one wants to see a police station close, because its is sad and it hurts, but because of cuts to funding the police have got no option.
"However, I can assure people that this will not mean there will be less police. We are still going to have the neighbourhood police presence in Wednesfield."
Mr Gakhal said that under the plans neighbourhood teams will move into other sites, which could include fire authority or local council buildings.
"It's something that is open for discussion at the moment," he added. "The station is not closing for a while yet, and by the time it does close neighbourhood officers will be located somewhere else within Wednesfield."
Wolverhampton North East MP Jane Stevenson, who campaigned to save the station, said the closure was a "real blow" for the community.
She is seeking a meeting with Mr Foster to urge him to reconsider, or to agree to open a smaller station on Wednesfield High Street.
By signing off on the closures of more than 20 police stations and bases, Mr Foster has followed in the footsteps of his predecessor David Jamieson, who shut down dozens of sites between 2014 and 2021.