The Dane helped Celtic win their 100th major trophy thanks to a 3-0 victory over Aberdeen in Sunday's Betfred Cup final and he has his sights on adding steadily to that tally.
Celtic were firmly in control against the team that have finished runners-up in the past two seasons and their start under Brendan Rodgers has given them a strong platform to build towards a sixth consecutive Ladbrokes Premiership title.
The champions remain unbeaten domestically and Sviatchenko believes they are on the verge of something special.
"We have the feeling everywhere," the 25-year-old said. "Everywhere you go people are really buying into the new Celtic. The vibes around us are really, really positive.
"And also the fans deserve a really, really good run now. We have been showing up great, they have been showing great support, so that's a really good mix.
"We have one trophy secured and maybe it's the best trophy to get because it's what starts something really, really well. We have been performing so well and it's a good trophy to have.
"It feels great. I clearly remember when I came to Celtic that I said I wanted to be remembered and I wanted to be part of something greater, and to be part of the 100th trophy is good.
"There is still a lot to come from us as a team. Even though we dominate, it's all about wanting to progress and push on to the next level in some way."