Depending on the context, this can be предлагать or подразумевать. 

— I was trying on the slippers, and I forgot I had them on my feet. So yes, I walked out of the store with them, but to say that I stole them…
— I’m sorry. I never should’ve suggested such a thing.
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— I don’t think bringing a bunch of teenagers to a biker bar for lunch was a very good idea. I can’t believe you, as a teacher, would suggest such a thing. Now my son wants to be a biker when he grows up!
— I’m sorry. I never should’ve suggested such a thing.