The 28-year-old world No16 was familiar to Kiwi fans after a productive 15-month association with New Zealand coach GD Jones, before the lure of a corporate career drew Jones away last January.
The pair remain firm friends and Anderson has enjoyed the chance to spend some time with his former mentor after making an early exit from the Brisbane International last week.
"One of the positives from losing in Brisbane so early was spending a little bit more time here," he said. "We came the very next day and it was great catching up and it was the first time I'd seen him since we finished in January last year. He took on a different chapter in his life in the corporate world so it was great to see the transition he has made.
"We always have a really good time together and I guess [he is] one of the reasons I'm here playing in Auckland as well."
The big-serving Anderson now looks forward to a quarter-final with American Steve Johnson, after he toppled Spain's Pablo Carreno Busta 6-7 (3) 6-4 6-1.
The pair met at last year's Heineken Open, with Johnson winning in straight sets, although Anderson reversed that result later in the year at Delray Beach.
"Steve's been playing some great tennis. He mainly hits slice, so I will definitely be trying to get the ball to that side of the court and look to control points from there."
Meanwhile, illness forced Spain's Roberto Bautista Agut to retire against Frenchman Adrian Mannarino, who won 6-2 2-1, and Columbia's Alejandro Falla beat France's Kenny De Schepper 6-2 6-4.
American Donald Young prevailed over Argentine Diego Schwartzman 2-6 6-4 6-1 and Spaniard Albert Ramos-Vinolas beat Taiwan's Yen-Hsun Lu 6-2 6-4.