bobcat

I know but this is the only picture I have when he saw us he ran away.

How cool :-)

He was in my backyard?

There is no mention of Lynx (Lynx canadensis) occurring in Arizona. See http://www.azgfd.gov/w_c/urban_bobcat.sh... , http://www.fs.fed.us/database/feis/anima... DISTRIBUTION , http://maps.iucnredlist.org/map.html?id=... AND "the bobcat’s coat is regionally distinct – a gray-brown color having evolved in arid parts of the U.S." (from the suggestion link).

Sorry, but I don't. When it saw us it ran away, and that was the only picture.

It is entirely possible that it could be a lynx, however, when in doubt, do not assume. The coloration suggests a lynx, but the range of the lynx ends just shy of the Arizona border. The ear tufts and ear spots are not defined well enough to sway me one way or another. Do you have any other photos?

Try a bobcat or a lynx see which is local