How to plug in a Playstation 2 on hotel TV?

May be...

I have an old Zenith TV that I bought from a Hotel. Because it is from a hotel, it does not have the red input. It only has Video In (yellow), Audio In (white), and something called SPKR Out. Can i still plug in my PS2?

Yes, but its a mono sound television, so plug in only the video (yellow) and the Left (White) to the tv, then change the input of the tv to match. Boot your PS2 up without a disc, and in the menu, set sound to Mono

Yes you can but you will have to play all your games in MONO

you should be able to, but sterio sound may not be availible, only mono...or vice versa