As of the latest available information, the majority shareholder of Birmingham City Football Club is Vong Pech, a Hong Kong-based businessman. He leads a consortium that acquired the club in 2016 from Carson Yeung, another Hong Kong businessman who had owned the Blues since 2009.
Under Vong Pech, Birmingham City has fluctuated between Championship mid-table and playoff contention. The club's St. Andrew's stadium (capacity ~29,000) and academy remain assets. However, ownership structures in English football can be opaque; beneficial ownership may involve additional parties behind the holding company.
For the most current corporate filings, check Companies House (UK) for "Birmingham City PLC" or "Birmingham City Football Club Ltd."