Dear Sir. Concerning your issue about the solvent available for PAEK at room temperature. The solubility of these PAEKs was tested in various organic solvents, and the result is listed in Table 2 (below link). All the PAEKs were found to be soluble in concentrated sulfuric acid like PEEK and PEKK. It is well known that the conventional PEEK and PEKK could not be dissolved in most known organic solvents. In contrast, these new PAEKs were soluble at room temperature in polar aprotic solvents such as NMP and DMAc as well as in the less polar solvents like pyridine, chloroform, and THF except for DMSO. The good solubility of these polymers could be attributed to the introduction of bulky (4-phenoxyphenyl)- triphenylmethane groups, which increased the chain distance, inhibited the chain packing, and decreased the interaction of the polymer chains; consequently, the solvent molecules were able to penetrate easily to solubilize the polymer chains. The good solubility of these PAEKs makes them easier for film preparation by spin coating, and it is also potentially useful for further device fabrication. I think the following below links may help you in your analysis:
In case you are referring to Poly Aryl Ether Ketone (aka PEEK), my suggestion is to refer to the available internet resources. In case my assumption would be right, then I am afraid you could dissolve PAEK in highly concentrated acids, but at the same time oxidizing and destroying it...