Dank is reported to have settled in well at Arlington Park ahead of Saturday's Grade One Beverly D Stakes.
The Sir Michael Stoute-trained four-year-old tackles the near 10-furlong event on the back of a Group Two victory at the Curragh last month.
She will be having her first start at the highest level in the fillies' and mares' feature and is also a first runner in the race for Stoute.
Stable jockey Ryan Moore is due to ride but Stoute will not be making the trip to America, with his partner Coral Pritchard-Gordon scheduled to be his representative.
"She's been very relaxed since she got here," said Dank's groom Elaine Westgate, who has been in charge of the filly since her arrival Sunday.
"It was her first day out of quarantine (on Tuesday), so she likes to look around a bit. That's her. It's a new place and she is a curious filly. She likes to always see what's around her.
"She's nice and calm right now. You never want them going too fast or doing too much when they're right out of quarantine.
"We are just going to make her comfortable and keep her happy leading up to the race."
Dank will be renewing an old rivalry with David Wachman's Irish raider Duntle, who beat her into third in the Duke of Cambridge Stakes at Royal Ascot.
Stoute's inmate has since won the Kilboy Estate Stakes and Westgate believes she has probably improved through her last two runs.
"She was definitely a better horse at the Curragh than at Ascot, so I guess she is better now than the last time (that she faced Duntle). But, you never know until the day (of the race) do you?" she told www.arlingtonpark.com.
"She just thrives in her training. That's all you can say. She keeps getting better and I think she'll like it here. She likes it good to firm here, too.
"We're looking forward to the race."