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Hi. My name is***** How long ago would you say you last saw him acting normal? Has he been eating / drinking normally? Does he have any previous health issues? Has he been losing weight?
Has he ate and drank since walking around with this stumble? If you look at his eyes, are they moving from side to side? Does he seem to be mentally normal?
That is good that his eyes are not moving abnormally. Also good that he's curled up in his chair being pretty comfortable. With an older cat that just seems to be a little weak / stumble every now and then, some things I'm thinking of are: Nails needing trimmed as they could be long and snagging on the carpet as he walks. Weakness due to age related issues like arthritis. Weakness due to physical issues that are making him not as stable such as chronic kidney issues, diabetes, or hyperthyroidism. The best thing I can recommend is a check with your vet so they can do a physical exam on him and do some blood work to screen for issues that can be more directly treated for.