Is the " g " in words with " ing " pronounced in English ?
Yes, it is. If you listen to the sound of the words 'thin' and 'thing', they are clearly different.
However, the 'g' sound is not the same as a 'g' at the beginning or in the middle of a word. The 'in' sound of 'ing' is a kind of humming sound which we make in our nose, and the the 'g' after it is part of the same nasal sound.
That said, some people miss out the 'g' sound at the end of these words, in the same way as some people miss out the 'h' at the beginning of words. That's why you sometimes see colloquial spellings like 'chillin', which is an imitation of this kind of speech. But in correct English, yes, we do pronounce the 'g'.
I hope that helps.