The pair will return to Las Vegas for a short training camp before returning for Parker's next fight in Invercargill on August 1. His opponent will be announced early this week, with promoter Dean Lonergan saying he was close to signing a fighter ranked in the top 15 in the world.
If the night is anything like this one at Arena Manawatu it will be a boisterous occasion. The place, filled with a noisy crowd of 3000 gave Parker one of his best ever receptions as he took the ring.
Parker described it as the best crowd he had fought in front of and the fight itself must rank as his best result in his short but highly promising professional career.
Saglam last lost two years ago. While he hasn't fought out of Europe before, and his record looks a tad padded, at 38 he is a powerful and experienced operator, but he had no answer to Parker's speed or power.
A comparable result would be Parker's knockout of Brazilian Ireneu Beato Costa Junior in Hamilton in December.
In the first round Saglam got Parker's attention with two looping right hands, but with one minute of the round remaining the Kiwi went on the attack and it was all Saglam could do to hang on. To his credit, he kept throwing, but not with the same intent. Parker has shown a slight vulnerability to the overhand right but to his credit he saw them early and comfortably dealt with them.
The fight is likely to make waves in the United States, where it was screened live by ESPN following a deal stitched up recently by Parker's promoters Duco. American audiences have a liking for stunning knockouts and they got one here.
Barry's enthusiasm for Parker's performance - after his lukewarm rating of his charge's last victory over American Jason Pettaway - was plain to see.
"This is the best Joseph Parker that we've ever seen," he said. "We only saw him for a little over one round tonight but believe me he is developing really well. There is still a long way to go but in another two years we're going to have a very special fighter.
"It's only the infancy stage of his career as a heavyweight... he's got tons of potential for development and that's what makes me as a coach really excited because he is going to turn into a fabulous fighter. He could turn into the best fighter we've ever had - but he's still got a few things to do before we can give him that mantle."
