This comes after the Blues maintained their perfect start to the Barclays Premier League on Saturday with a 2-0 victory over Newcastle.
Goals from Eden Hazard and Fernando Torres were enough to overcome a spirited Newcastle side and now the European champions face a trip to Monaco to contest the Super Cup with Europa League winners Atletico Madrid on Friday night.
The annual competition has sometimes been derided but Di Matteo wants to add another piece of silverware to the FA Cup and Champions League successes he has already masterminded during his short tenure as Chelsea boss.
"We are happy we are going into the Super Cup final with three wins and everybody fit and hopefully we can win another international trophy for this football club," the Italian said.
"(I will take it) very seriously. It is not a friendly. It is a European trophy that we want to win. (I will) not be resting people."
Captain John Terry missed the win over the Magpies through injury and will also sit out the Super Cup clash as he serves another match of his suspension picked up following his red card in the second leg of the Champions League semi-final against Barcelona.
But Frank Lampard, who had a three-minute cameo on Saturday, is likely to return to the starting line-up having been given a rest by Di Matteo after a busy start to the new season.
"He played in the Community Shield, he went with England and played and then played against Wigan and Reading," Di Matteo said of the 34-year-old midfielder.
"He is a very important player to us but, like I said, I utilised the squad. I had a fresher player that played [on Saturday] and this is important that we do utilise everybody because we played three games in six days."
Di Matteo also confirmed David Luiz will be available after the Brazil defender needed a bandage on a head wound following a clash with Demba Ba towards the end of Saturday's game.
New signings Cesar Azpilicueta and Victor Moses, who were unveiled at Stamford Bridge before the start of the Newcastle game, will also be part of the squad for Friday's match.