Zancopè started his professional career at hometown club Padova. He played 8 matches at Serie B with first team in 1989–90 season, while also played at Primavera Team. From 1990–94 seasons, he left for Serie C1 and Serie C2 clubs, where he became the regular at Vigor Lamezia and Giorgione.
Cittadella
In 1994, he was signed by Cittadella permanently. He was the regular starter and won 1997–98 Serie C2 runner-up and promoted to Serie C1. He continued to play as the first choice, ahead Luca Capecchi. In 1999–2000 season, he was signed by Viterbese. He played the remain half season as starter, helped the club entered the promotion playoffs but lost in semi-finals.
In 2000, he was signed by Catania of Serie C1. He played as backup goalkeeper of Gennaro Iezzo but also played 13 matches.
Modena
In 2001, he was signed by Modena of Serie B in co-ownership deal. He played as Marco Ballotta's backup. In 2003–04 season, he played his first Serie A match on 5 October 2003, a 3–0 won against Empoli F.C.. In that match he replaced Riccardo Allegretti in the 15th minute, after Ballotta was sent off. In that season he also played 17 starts along with Ballotta. But the team failed to score regularly and ranked 3rd in the least in both points and scored. He left the club at the end of season as Modena relegated.
Siena & Treviso
In 2004, at aged 32, he was signed by Siena of Serie A. He played as backup of Austrian internationals Alex Manninger and Marco Fortin. In the next season, he was signed by newly promoted Serie A team Treviso, exchanged with Davide Zomer, replaced Marco Ballotta who left for Lazio. He played regularly and backup by Slovenian internationals Samir Handanovič and later Matteo Sereni. But the team also failed to score regularly and ranked bottom in both points and goal scored.
In August 2006, he was offered a 1-year contract at Vicenza of Serie B. He replaced the Vicenza legend Giorgio Sterchele as the first choice, which only about 2-year old than him, ahead Matteo Guardalben. In the next season his contract was extended, and from Round 2 to Round 15 he was the first choice, but the team ranked 5th from the bottom. He then played as backup of Guardalben and replaced him on the 43rd minute against Frosinone on 15 December 2007. He played the next match as starter on 22 December 2007 which 1–3 lost to Chievo but handed back to Guardalben in next match. On 29 January 2008, Vicenza signed former teammate Marco Fortin and both Guardalben and Zancopè became backup, and eventually survived from relegation.