"the employees" means some specific employees, which in this case would be understood to mean the employees of the Swiss company. "employees" means employees in general (any employees). It is not actually wrong, but seems less likely in this situation.
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Russkiy BearDoes the imply all of the employees? Or it just means those people who work with Nick?It would normally be understood to refer to all employees of the company mentioned, but possibly as a generalisation rather than completely literally (i.e. we do not necessarily believe that the writer has spoken to every single employee to check their opinion).
GPYAs I mentioned, the wording tends to suggest that Nick is not an "employee" in the same sense as the others, but has the role of employer, and therefore is likely to be known to all.To avoid this connotation you can say "The other employees don't like him much though."
Russkiy BearEmployees don't like him much though.The sentence above (no "the") gives me the impression that you're talking about "all the employees in the world". Show me any employee you want in the whole world. That employee doesn't like him much.