Assign a parking place (7)
I believe the answer is:
appoint
'assign' is the definition.
(thesaurus)
'a parking place?' is the wordplay.
'parking' becomes 'p'.
'place?' becomes 'point' (place is a kind of point**).
'a'+'p'+'point'='APPOINT'
(Other definitions for appoint that I've seen before include "Assign to a post" , "Employ; take on" , "Choose for a job" , "Fix" , "Give job to" .)