The champions are now second in the Premiership - three points behind Hearts - and four clear of Rangers, who have won just one of their opening four games, after this loss and stalemates at Aberdeen and Motherwell.
Shortly before that Ntcham had forced Rangers keeper Allan McGregor into one of several great saves as Celtic dominated.
Goldson, 25, who signed for the Ibrox club in the summer, said: "Obviously this is the first time I have played in a derby but when I came here in pre-season I heard a lot of people say how much better they were, how they beat Rangers 5-0 last season. They demonstrated their qualities, demonstrated the spirit that's in our squad, and it was a very good victory for us". "We will get closer".
"I think we came out in the second half and we played football, it was an even game and their fans were starting to get a little bit edgy, which was what we wanted then the goal just kills everything".
"They have been together for 150-odd games and they have experience - winning experience and we have been together for 12 or 13 weeks".
"I am not saying 1-0 is acceptable but I have seen enough today (to know) that we are working in the right direction".
Skipper Scott Brown insists Celtic have a firm grip of the fixture. But if you stay strong and stay in the game, we actually got to half-time happy with the result but needed more from the performance. We believe if we turn up we can beat anyone - especially at Celtic Park.
"It's not about Rangers".