In the UK, electrical certificates can be issued by any competent person, but for the certificate to demonstrate Part P compliance with the Building Regulations, the person issuing it must be registered with a competent person scheme (also known as a Part P scheme).
The main competent person schemes in the UK include NICEIC, NAPIT, ELECSA, STROMA, Certsure, and BRE. Registration with one of these schemes means the electrician has been assessed as competent to design, install, inspect, and test electrical installations to BS 7671, and they are authorised to self-certify notifiable work without involving Building Control.
If the electrician is not registered with a competent person scheme, they can still carry out electrical work, but they must notify the local Building Control body before starting notifiable work, and Building Control must inspect and approve the work before issuing a completion certificate. This route is more expensive (Building Control charges a fee) and slower.
Always ask your electrician for their competent person scheme membership number before work begins. You can verify their registration on the scheme's website. A registered electrician will self-certify the work and you will receive a Building Regulations Compliance Certificate within 28 days of completion.