It is not just cracks but some small parts missing. This would reduce the inductance somewhat, but not very much (e.g. < 10% range). So Chances are very high it is still functional with no real negative effect.
Tried this out to verify, measurements taken in circuit, cracked off the top:
- Original: 4.46uH Rs 89mR
- 25% crack: 3.85uH
- 60% crack: 3.15uH
OPs looks something like 20% of the top has been cracked off, so probably around the 10-15% reduction in inductance range.
if the top is just chipped off in the corner it should be OK unless the circuit was way too optimized or barely functioning. The inductor tollerance is wide usually, so you have a few % change.. but chances are its in spec, since it might be +-30% part.
-15 to -20% is the most common tolerance option. -30% does exist though.