Emery succeeded Arsene Wenger on a three-year contract in May 2018 and is charged with improving on last season's fifth-place finish in the Premier League and being runners-up in the Europa League.
"I think he's doing a great job - has done a great job and is doing a great job," Kroenke told BBC Sport. "Turning the page from such a legendary manager and figure as Arsene - not only at Arsenal but in European football - was always going to be a difficult page to turn and as a club I think we've turned it as elegantly as we could.
"I think Unai's daily approach is fantastic. He's out there on the pitch, he's working, he's watching video, he's communicating and his daily energy and devotion to his work is fantastic - it's exactly what we need.
"Challenging for the Premier League title is always our goal, that's what we talk about constantly. Based on the strength of our league, which is the greatest in the world, if you're competing for the Premier League title, you're competing elsewhere for other silverware as well; whether that's the FA Cup, whether that's European silverware. We want to go for it all."