The Italian coach filled in on a temporary basis last term and excelled after Andre Villas Boas’ dismissal, leading the west London side to the Champions League and FA Cup trophies.
Despite this, Chelsea are on something of a transfer push this summer, signing Eden Hazard, Marko Marin and Kevin De Bruyne, and Di Matteo knows he needs to succeed to keep his job.
“I am very happy to be here,” he told reporters at a press conference, reported by Sky Sports.
“I was going to respect and accept any decision [from the board] but I am looking forward now to working with this group of players and hopefully bringing further success.
“The pressure will always be there. There has been speculation from day one and I have lived with it from day one.
“I have lived with it and I focus on my job and everyone else can say and write what they want.
“I have been in football all my life. I clearly know that managers are judged by results, as simple as that. It’s no different for me than anybody else.
“The end of the season was remarkable and the team was outstanding in achieving those targets, but that is the past – now we look to the future and we have to start again.
“We have to try and get running from the start and be competitive in all the competitions we are involved in.
“With Chelsea you are always looking to compete and be in the frame to win something at the end of the season, that will be the key.
“The priority is to challenge,” he confirmed.
By Gareth McKnight