How to translate “折腾” to English?
First off &quot;zhe teng&quot; can not be considered a translation of 折腾, and certainly not the official translation - it is simply just the pronunciation.
A translation of 折腾 really depends on the context, and since you didn't provide any context then you can consider the following definitions and sample sentences and see which fits best:
A Chinese-English Dictionary

INFORMAL
1 turn from side to side; toss about
他折腾了好几个钟头才睡着。
Tā zhēteng le hǎojǐ ge zhōngtóu cái shuìzháo.
He tossed about in bed for hours before he got to sleep.
2 do sth. over and over again
徒工把旧机器拆了又安, 安了又拆, 折腾了好多回。
Túgōng bǎ jiù jīqì chāi le yòu ān, ān le yòu chāi, zhēteng le hǎoduō huí.
The young apprentice again and again took the old machine apart and then put it together.
3 cause physical or mental suffering; get sb. down
牙疼真折腾人。
Yá téng zhēn zhēteng rén.
A toothache can get you down.
4 spend freely; squander
没多久他就把那份家产折腾光了。
Méi duōjiǔ tā jiù bǎ nà fèn jiāchǎn zhēteng guāng le.
It didn't take him long to squander away his family fortune.