Reports have suggested that both players could be on the move this summer with moneybags Paris Saint-Germain keen on landing Cole and Juventus and Real Madrid credited with an interest in Meireles.
However, Di Matteo has rejected the rumours and is confident they will remain in West London.
Asked whether speculation surrounding both players worried him, Di Matteo said: "No. both players are under contract with Chelsea.
"I think it's the time of the year when the season ends and speculation and rumours start.
"They are all Chelsea players and we are confident they will be in the future."
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.