Hi Natalia Urban,
If not shown then the employer would need to submit the details online.
If they are not sure how to do this they can contact our Employers helpline
Employers: general enquiries.
If they will not take any action then I would submit a letter explaining the situation with your payslips to reivew.
The address is HMRC,
Self Assessment & PAYE,
BX9 1AS
UK
Thank you.