to recognize the value or importance of (something that one has the benefit of) and be properly grateful

They don't appreciate their staff

I appreciate your offer

informal (in negative contexts) to be pleased at (something)

He doesn't appreciate being kept waiting

to esteem (something)

appreciate fine wines

to realize or be aware of (something)

I appreciate that the schedule is tight

I appreciate your difficulty

NAmer to raise the value of (a commodity, currency, etc)

to increase in value

The property will have appreciated considerably in six years