You could, but I wouldn't.
Student or Learner
- I wanted to learn English, but (I) could not.
I would like to ask if I can omit 'I' after 'but' or not.
***** NOT A TEACHER *****
I was reading a book this morning when I came across a sentence that immediately reminded me of your post.
May I share it with you?
" 'Well, I'd sort of like a job.' This [what he had just said] didn't strike me as particularly brilliant, but was out and there was no changing it now." (The words had come out of his mouth, so it was impossible to do anything about that fact.)
As you can see, the writer decided to leave out the word "it" after "but."
Source: Karl Brown, quoted in My First Time in Hollywood by Cari Beauchamp.