He is not fired but instead in charge of FBI personnel and associated records. Which really means he has been put in charge of shutting down any agents who may talk about the cancer at the FBI/DOJ.
Here’s the question, if Flynn lied to him, and he’s the primary witness how can they proceed against Flynn on his word as the primary witness?
After making false, politically motivated recommendations re Hillary’s handling of e-mails (so she wouldn’t be further investigated) and the (red herring, made out of whole cloth) issue of Russia’s involvement in the 2016 election (so candidate Trump would be investigated), Alphabet was transferred to HR (Human Relations).
When a hired hand in a federal govt. agency really screws the pooch they are transferred to personnel administration; IOW, now Alphabet oversees and makes recommendations upon the conduct of others in the bureau.