The register
The register lists Gordon Ramsay Restaurants Ltd in London as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Rating on the current register: Worker (A rating).
At Companies House the business is Gordon Ramsay Restaurants Ltd (company number 07360142), a private limited company incorporated in 2010, 16 years ago. The registered office is at 539-547 Wandsworth Road, London, SW8 3JD, SW8 3JD. Its filed activity puts it in hospitality. It has traded under other names before, including Kavalake Limited.
Holding a licence is the expensive, slow part done. For Gordon Ramsay Restaurants Ltd the question each time is only whether the role and the pay fit the current rules, and that is checked per vacancy.