Yes, the Feit Electric Smart Wi-Fi bulbs will work with Mesh Routers. The bulbs do require a dedicated 2.4GHz band during set up which might require additional steps particular to your router. For the best and easiest way to set up a 2.4GHz band please contact your router manufacturer for support.
Here's an article with more Insert How to Troubleshoot Wi-Fi Connectivity Issues HERE!
Or watch this video for additional tips.