While itchy noses are more common during the winter and spring when health issues like allergies and the common cold are prevalent, they can occur anytime during the year.
According to Healthline, germs often infect your nose and sinuses first. When this happens, your nose will try to flush out the bacteria or germs with mucus. Since sneezing expels germs from your body, a tickle in your nose could be your body's response as it works to protect itself.
Allergies, the most common reason your nose may itch, occur when your immune system reacts to something in your environment. Mistaking something for a virus, such as the flu, your body reacts to something you're allergic to with cold-like symptoms.
Although not common at all, an itchy nose could also be a warning to a more serious issue like a nasal tumor. Healthline notes that possible symptoms of a nasal tumor, in addition to an itchy nose, include loss of smell, sores in the nose and frequent infections.