That's not polymerization, silica with Zr in it is usually a form of glass. I am not an expert on glass fabrication, but I don't think there are a lot of low-energy liquification-free ways to get a dopant in it.
The closest thing I found spontaneously would be this:
Article Modification of barium aluminosilicate glass-ceramics with z...
Alternatively, you could fabricate a zeolite, but that would also require a designated synthesis from the beginning:
Article Modification of Y‐Zeolite with Zirconium for Enhancing the A...