It was revealed earlier this year that the future of the £20 million complex was being put under threat by the planned railway just five years after it opened.
The authority is among the 1,925 objectors that have submitted petitions to the House of Commons over the scheme.
It is also involved in negotiations with HS2 Ltd after the rail link company announced it wants a compulsory purchase order on the car park and rear yard of the centre in Duddeston, Birmingham.
In a joint statement chief fire officer Phil Loach and the authority's chairman Councillor John Edwards said: "We very much hope that we can reach a negotiated settlement with the HS2 company."
