Find the Parisian sheltering old domestic pet (6)
I believe the answer is:
locate
'find' is the definition.
(locating is a kind of finding)
'the parisian sheltering old domestic pet' is the wordplay.
'the parisian' becomes 'le' (definite article in French).
'sheltering' indicates putting letters inside.
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'domestic pet' becomes 'cat'.
'o'+'cat'='ocat'
'le' going around 'ocat' is 'LOCATE'.
(Other definitions for locate that I've seen before include "Pinpoint, find" , "spot" , "Find by searching" , "Set in a particular place" , "Find, or establish in particular place" .)