"easygoing atmosphere" is correct and usable in written English.
You can use it when referring to a relaxed atmosphere in a particular location. For example, "The café had an easygoing atmosphere that made it a popular spot for locals."
Purcell himself has enjoyed becoming a part of the Panthers' relaxed, easygoing atmosphere and says he can see the results.
Noted for its easygoing atmosphere and magnificent beaches and waters, Anguilla is a popular tourist destination.
But the restaurant's employees seem to believe that the terminal will be built, inevitably changing the island's easygoing atmosphere.
Despite the easygoing atmosphere, there's no escaping the restaurant's principles (it sells sweatshop-free, eco-friendly T-shirts, and its takeout pizza boxes are made from recycled fibres).
Indeed, in the easygoing atmosphere of Powell Symphony Hall, surrounded by musicians and administrators who value his Dutch heritage, Mr. Vonk appears to be settled in for the long haul.
Kathi Meyerson, 51, who works as a bouncer at the bar, said she would miss the easygoing atmosphere of Chetti's, as well as her job, which hardly ever entailed breaking up fights.
Yet just down the road from mega discoteca Privilege you will find the hidden, back-to-basics gem of Ibiza Underground, offering free entry, an old school, easygoing Ibineco atmosphere and the strong chance of a top-notch DJ popping up behind the decks.
The Tyler Place has an easygoing social atmosphere that encourages couples to invite each other to dinner, chat at the pool, play tennis, trade parenting advice, or bond during mountain-bike trips.
The open-kitchen atmosphere attracts a young, easygoing crowd.
The atmosphere inside was purposeful but easygoing.
