How to have google search exclude a particular portion of a page from it's index?

I recently added a google search to my website, but the search results often come up with links from a drop down menu that I use for navigation. The site is a collection of live shows that I’ve acquired over the years, and the dropdown menu lists various bands. So if you search for a band like “Coldplay”, the google search sees “Coldplay” listed on every single page on my site due to the navigational dropdown menu and is returning inaccurate results. It’ll list a page about Guns n’ Roses simply because Coldplay are listed in a dropdown menu. Is there any way to exclude that drop down navigation menu from what google is indexing?

See what I mean here: - just do a search on “coldplay” and you’ll see what I mean. The wrong pages entirely come up!

Thanks in advance!