Review the information on repairs here, and the relevant statute summaries here (you can also look up the full statutes, here). See A.R.S. Sec. 9-1303 ("For the purposes of this chapter, a condition that materially affects the health and safety of the occupants of a residential rental dwelling unit includes any of the following conditions:... 9. Hazardous or unsanitary premises, including those premises on which an accumulation of weeds, vegetation, refuse, dead organic matter, debris, garbage, offal, rat harborages, stagnant water, combustible materials and similar materials or conditions constitute fire, health or safety hazards."), which is implicated by A.R.S. Sec. 33-1324, governing the landlord's duty to provide fit premises.
Your focus seems to be on the odor, not the question of whether the flooring has deteriorated to the point that it, of itself, is a health or safety issue. There's nothing I can point you to that is going to state, "pet urine beneath the floor covering, creating an odor, is a health issue that must be addressed by the landlord," but that seems to be the angle you would need to pursue to get relief. You can see what your local housing authorities say and are willing to do about the issue; if you have an active inspector, perhaps the inspector will be able to get your landlord to take corrective action.

