Several times I met the phrase as: “It is currently doesn’t …”, for example “It is currently doesn’t work…”.
First of all, it seems that the phrase itself is grammatically incorrect, because the verb “to be” used in the beginning (“is”) implies an object, which seems to be not present here.
However, I am wondering if this phrase could be used and be idiomatic. For example, can we consider as an object in this case the whole sentence “…doesn’t work” (=“not working”)?
No, it’s simply grammatically incorrect.
One should say “It is currently not working” or “It is currently not in working order” or simply “Currently, it doesn’t work”.