The 24-year-old is delighted to have sealed a move to Parkhead.
The defender has joined to bolster the Bhoys' back line, where there is already heavy competition for a first-team place - even if form hasn't been easy to find for those competing.
And he says he had several other offers - but that none of them could compare to a 'huge club' like Celtic.
The Hoops won 4-1 at Dundee United on Friday night and have now been boosted by Sviatchenko's arrival.
Erik on what other clubs came in for him: “Italian, French & Championship - nothing could compare to a huge club like Celtic" #NewBhoy (MH)— Celtic Football Club (@celticfc) January 18, 2016
Celtic boss Ronny Deila, meanwhile, says the club were scouting the 24-year-old for a 'long time' and highlighted his experience in Denmark.
Experience, Deila says, that belies Sviatchenko's young years:
Ronny Deila on his latest signing: "We are very happy. Watched him for a long time. Quite an experienced player for someone so young." (MH)— Celtic Football Club (@celticfc) January 18, 2016
The Bhoys are three points clear of second-placed Aberdeen after Friday's win, leaving them top of the Scottish Premiership and with a game in hand over the Dons.
And next up for Celtic is a home clash against Hamilton tomorrow night.
Can Sviatchenko play a big part in Glasgow or will he end up like some of Celtic's more underwhelming signings in recent years?