An acoustic panel will not affect your Wi-Fi signal. Acoustic panels and Wi-Fi signals have little interaction for two reasons — the type of wave and the panel’s thickness.
Acoustic panels address sound waves — vibrations that run through air particles. A Wi-Fi signal is an electromagnetic wave. Sound interacts with any object that has mass, so it moves through the air and collides with physical objects, including soundproofing materials. An electromagnetic wave can travel without a medium.
Only the densest surfaces can stop electromagnetic waves. Acoustic panels offer enough density to absorb sound waves but not so much that they will interfere with your internet connection.