The 24-year-old was again Palace's finest player in Saturday's 1-0 victory over Watford, when he regularly stretched the visitors' defence and won the free-kick which led to Troy Deeney's own goal.
The victory was their third from three - they had most recently won 2-0 at West Brom when Zaha also scored - and has come at a time when the winger is again being linked with Spurs.
Spurs boss Mauricio Pochettino has long been linked with the winger, and is reported to have failed with at least two bids in the transfer window last summer.
It has been suggested a fresh attempt will be made to land him in the summer, something which has been dismissed by Allardyce, who has blamed agents for all the rumours.
"Spurs were always mentioned because agents or somebody decided to stir the pot," said the 62-year-old manager. "We all know who stirs the pot behind the scenes even though they deny it, but we know they do it."