At home I had similar problems, and it actually came down to range. Philips Hue works via Zigbee, not directly over your WiFi - it's its own radio network. The Bridge transmits on 2.4 GHz, and if your lamps are three rooms away, that can already be too far, especially with lots of walls in between. The problem is that individual lamps sometimes just lose connection to the Bridge and then reconnect - the flickering is the lamp restarting.
The key thing is that the Bridge should be placed centrally, not in a corner. Try putting it closer to the middle of your apartment or at least elevated somewhere (on a shelf or something). If that's not possible, additional Hue lamps can act as repeaters - the more lamps you have, the better the network works, because they relay signals to each other. After about a month at my place the problem was gone, after I repositioned the Bridge and added another lamp that boosted the signal.
Your WiFi actually plays a minor role here, because Hue doesn't run on it. But if your WiFi is running on the same 2.4 GHz channel as your lamps, that can still interfere - try checking in the Hue app under Bridge settings to see if there's an option to switch the Zigbee channel. Otherwise: move the Bridge closer, and give the system a week or two for the lamps to reconnect to the network.