Deportivo 37-year-olds Valeron and Manuel Pablo combined for the opener as Depor's bid to avoid relegation from La Liga gathered pace.
Valeron and Portuguese trio of Pizzi, Nelson Oliveira and Bruno Gama helped Depor out of the relegation places up to 16th in the standings with 29 points, two above the drop zone.
Promoted Depor, in administration and on their third coach of the season, were set on course for their fourth straight win after only 12 minutes.
A veteran of their 1999-2000 La Liga title-winning campaign, Manuel Pablo, crossed from the right and fellow former Spanish international Valeron half-volleyed inside the far post for his first goal of the campaign.
A swift counter-attack led to Pizzi lashing a second past Gustavo Munua in the 20th and Nelson Oliveira notched a third eight minutes later.
Gama drilled a fourth at the end.