The Spanish giants are reported to be interested in Luiz, allocating up to £30million to sign the Brazil centre-back who returns from a knee injury for Saturday's Premier clash with Newcastle.
But unlike Arsenal, who have seen Cesc Fabregas and Alex Song depart for the Nou Camp in the last year, Di Matteo insists his European champions have nothing to fear.
"Luiz is part of our future. It's normal that he'll get interest because he's a Brazilian international centre back," the Italian said.
"There have been no approaches for Luiz and he's not for sale at any price.
"It doesn't concern me, the player will be here for the long term.
"I believe we can withstand Barcelona. Personally we don't feel any pressure from them. This club has been very successful in the past.
"I don't see why any players would want to leave us for anywhere else.
"We always compete for trophies. We're an ambitious club with an ambitious owner. We have great facilities.
"We have a great group of players who over the years have won a lot and still have the hunger to win more."
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
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.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
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.