Although I am British, I recommend students who struggle with this word to pronounce it like "cloze", which is one of the acceptable pronunciations in the Merriam Webster US English dictionary. It's good enough, in my view.

According to the dictionary, it's /kləʊðz/ (UK) or ​ /kloʊðz/ (US). Anyway, my guess is you are really asking about the final consonant sound rather than the vowel, and that is a bit tricky, especially if the "th" sound is not natural for you. If you say the word carefully, you will pronounce both consonants, with the tip of the tongue moving backwards. However, in rapid speech, even native speakers will not make much of the "th".

Try: клоз or клоц neither is quite correct, but they're fairly close to the way that "clothes" sounds.

Native American English speakers pronounce "clothes" like close or cloze .. weird right!

http://forvo.com/word/clothes/ You can listen to how native speakers from different regions pronounce it on this website.