Yes—you can use a polarizer on a wide-angle lens, but you need to watch for uneven skies. The issue is real because polarization is strongest about 90° from the sun; with a very wide view, the center of the frame may be strongly affected while the edges are not, creating obvious dark or saturated patches.

It shows up most with clear blue sky, especially in landscape orientation and when shooting roughly 90° to the sun. It’s much less noticeable in overcast conditions, when little sky is in the frame, or when clouds help break up the sky.

Ways to reduce it:

• back off from maximum polarization by rotating the filter slightly
• shoot in portrait orientation instead of landscape
• compose with less uninterrupted blue sky
• use clouds or other elements to hide the variation

So a polarizer is not something you should “never” use on a wide-angle lens. It can still be very useful; just be aware of when the uneven effect is likely and adjust composition or filter strength accordingly.