The register
The register lists Fg Home Construction Limited in Coventry as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Rating on the current register: Worker (A rating).
FG Home Construction Limited is the registered name (Companies House number 14964329), a private limited company on the register since 2023. Registered office: Rollasons Yard Rear Of 103-105, Windmill Road, Coventry, CV6 7AT, CV6 7AT. Its filed activity puts it in construction.
A licence says an organisation may sponsor; it does not say it is hiring today. The way to find out is the same as for any employer: the careers page, the job boards, and a direct approach with a UK-style CV that says early that sponsorship would be needed.