Chipolopolo open their tournament against Group A favourites Senegal in Bata, Equatorial Guinea, on Saturday.
But Renard led the team to the last eight in Angola two years ago and, having returned to the role following brief stints in charge of the Angolan national side and Algerian club USM Alger, is aiming to eclipse that achievement.
"I am the Zambian national coach, I know what I need to do and I am not feeling any pressure at all," the Frenchman was quoted by www.mtnfootball.com as telling reporters.
"We want to play attacking football in Equatorial Guinea and that needs a lot of practice, but I am confident that this tournament will be better than the previous one."
Zambia could hardly face a tougher start, though, as they come up against the team with perhaps the most potent attacking force in the competition.
Senegal boast in-form Newcastle striker Demba Ba, his new club-mate Papiss Demba Cisse, signed this week from Freiburg, prolific Lille frontman Moussa Sow and the likes of Mamadou Niang and Dame N'Doye in their ranks.
Ba has scored 15 goals in 19 Premier League games for Newcastle this term, Cisse nine in 17 in the Bundesliga and Sow netted 25 times in Ligue 1 last term.
But Renard revealed his team are motivated by the desire to reach the final in Libreville, Gabon, a city forever tragically linked with Zambian football.
An air force plane carrying the Zambia squad to Senegal for a World Cup qualifier in April 1993 crashed into the Atlantic Ocean soon after take-off following a refuelling stop in Libreville.
All those on board died, with captain Kalusha Bwalya the only member of the squad to survive because he was not on board. Playing his club football at the time in Holland with PSV Eindhoven, he travelled directly to Senegal from Europe.
"It is my dream to win the Cup of Nations in Libreville because a great part of Zambian football history was written there," Renard told www.cafonline.com.
"Imagine if we could lift the trophy, it would be a fantastic way to honour the memories of those who made the ultimate sacrifice while serving the land they loved.
"I am going to central Africa with footballers who are committed to fighting for their country and not just themselves. We will be proud ambassadors of Zambia. We will respect all our opponents, but we will fear none of them."