I would say what you were told is partly correct but partly wrong. You should use a verb in business settings. But you can safely add / to a from yourself. Saying is perfectly fine.
/ as a prefix often forms a , but it sometimes forms a mere , too. is not a but a , and you can safely use to refer to things belonging to yourself.
For example, no one thinks you are paying respect to yourself if you said or . However you should not say or because these are .
Likewise, saying is perfectly fine, and it's polite enough when you speak to your colleagues. But you should say when you have to be more respectful.
See my previous answer for details: can {} create implied subjects?
**EDIT:** Something like is also perfectly fine. As Chocolate's links suggest, / is commonly used in humble expressions, too. See this chiebukuro question, too.