Can i use 일 가고싶어요 without 저는/나는 ?
Hello, can i actually use 일 가고싶어요 without 저는/나는 ?

+ Does 일 need location particle 에 ?

Thank you(Missclicked lang class)

Question

Can i use 일 가고싶어요 without 저는/나는 ?
Hello, can i actually use 일 가고싶어요 without 저는/나는 ?

+  Does 일 need location particle 에 ?

Thank you(Missclicked lang class)

Answer

일 가고 싶어요 and 저(는) 일 가고 싶어요 are both okay.  It depends on what exactly the speaker wants to say.

에 can't be used after 일.  일 가다 is similar to 낚시(하러) 가다 or 쇼핑(하러) 가다.  The noun indicates the purpose or activity rather than a place, so adding 에 will make it very strange.

The phrase sounds a little odd because 일 가다 usually means going to work as part of a routine, so it would be rare for people to say 가고 싶다 for 일.  Phrases like 일 가야 돼요 (I must go to work) would be more common.  
Also, 일 가다 is a tradition term for older types of work.  We use 출근하다 for most modern types of jobs like office work or corporate jobs.