Can gel stain be used on floof

I’m wondering if the gel stain can be used on floors. Specifically, I have a parquet floor in the kitchen, see attached. It’s oak and looks orange, have recently removed topcoat and we have some high traffic areas where current stain has worn off. Would the toasted oak gel stain work, or am I better off sanding the whole floor and using a more traditional stain. If the gel stain would work, how would this be maintained (cleaning etc), and would a topcoat be needed. I’m going for a more natural, less orange look.