It completely depends on a jurisdiction. Beginning from the company's status: “suspended” is not the universal term used by registers across all jurisdictions and if used, it can have different meaning. In some jurisdiction, nothing may happen, in another, manipulation with an account of the suspended company is a crime.
In general, a bank should freeze the account since the moment they are aware that the company is not fully legal. But unless you share the jurisdiction of the company︀ and the jurisdiction of the bank, do not expect any reasonably founded advice.