I had this issue before but the problem is more on your email provider than Blockchain.info.
I have asked this question before but I havent received any reply, is it possible to remove Blockchain's email verification? Theres a link to unsubscribe in every email verification I get but Im still scared to click it.
You can by enabling the 2fa using google autheticator . Go to settings > security > scan the code and enter the 6 digit number . I don't think unsubscribing to their email is a good idea as it can help you when you in some security issues lile forgotten password, updates if someone logges in etc.
I don't know if you are the one who are having trouble or it's a problem that is coming from blockhain itself. I have seen that many people here are experiencing the same problem And I guess the source of that problem is coming from blockchain's server. But did you tried the earlier suggestions? I think those are helpful.
It's not on blockchain because I just used it and the emails we're send in seconds right after I clicked the button . Maybe Op can give us more details first like what is his email provider, if he already cleaned the cookies and cache, checked the spam folder etc.