"Please wait for a while."
Well, that's not necessarily true. Even if you've personally seen it translated as "a bit" more often than not, it can also be translated as "little, few" etc.
Please correct the English translation, it is totally wrong. for a while = for a long time. If you want to say for a short time with while, you have to say "for a LITTLE while" https://dictionary.cambridge.org/dictionary/english/while?q=a+while