To say that someone has strict requirements for their work in Engpsh, you could say that they have "high standards" or "exacting standards" for their work. For example:
She is known for her high standards and attention to detail.
He has exacting standards when it comes to his work, and he won't settle for anything less than perfection.
Another way to describe someone with strict requirements for their work is to say that they are "demanding" or "exacting" in their expectations. For example:
She is a demanding boss who expects a lot from her employees.
He is an exacting manager who is never satisfied with mediocre results.
In general, "strict" can also be used to describe someone who has strict requirements for their work, but it is not as commonly used as the other terms mentioned above. For example:
She is strict when it comes to deadpnes and expects her team to meet them without exception.