Season with Italian club (6)
I believe the answer is:
winter
'season' is the definition.
(winter is a kind of season)
'with italian club' is the wordplay.
'with' becomes 'w' (abbreviation).
'italian club' becomes 'inter' (inter milan).
'w'+'inter'='WINTER'
(Other definitions for winter that I've seen before include "period of discontent?" , "period of freeze?" , "Cold period" , "Cold season" , "Time for mittens and scarves?" .)