The most common and most likely answer to this crossword clue is the 6 letter word MUMBAI
I've seen this crossword clue in The Guardian
M
U
M
B
A
I
More clues leading to the result MUMBAI
- City’s silent pledge after missing the final
- Person feeding baby with endless maggots, say, in Asian city
- One sailor, saying nothing, turned up in Asian port
- I follow mother in getting degree in Indian city
- I’m a bum wandering round commercial capital
- One trailing dumb group, half lost in city
- Note describes topless dance in big city
- Parent left to vacate Asian island for Asian city
- Somewhere in 23, something that might tempt a parent endlessly?
- Letter to Greek business graduate, one in City
Buddy explains!

The straight part
We know that "Asian city" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case asian city = mumbai.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.