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I have made up the examples below.

Suppose that you have received an email from your friend. He wants to meet you next Thursday. In your email reply,

(1a) I say to Jack, "Unfortunately, none of the time slots you suggested works for me."

(1b) I say to Jack, "Unfortunately, none of the time slots you have suggested works for me."

(1c) I say to Jack, "Unfortunately, none of the time slots you are suggesting works for me."

I am not sure which tense of "suggest" is correct. Thank you for your help.

All are contextually acceptable, but, in point of fact, simple present '...that you suggest' would be the most idiomatic choice.