You do not need to be an employee. Sure, it's a way to take out around 19,000 EUR/year from the company without paying income tax and lowering the company's taxable base. But what most expats moving to Cyprus to set up a one-person company do is just pay the 12.50% corporate income tax and then pay the remainder as dividends, which for you as a non-domicile resident are tax free. Of your dividends, you have to pay 2.65% Gesy. This is capped at 4,770 EUR/year so if pay yourself more than 180,000 EUR per year in dividends, there is no further Gesy tax.
This website has pretty good calculators:
Cyprus Tax Calculators - Easy, Quick and Accurate - MyCyprusTax©