The Bulldogs received pick 74 in return for moving on the talented forward, who was contracted for next year.
Ugle-Hagan's career is at the crossroads after dealing with serious off-field challenges for more than a year.
The 23-year-old failed to play a game at any level this year as he spent periods completely away from the club.
The future of Ugle-Hagan was a constant distraction for the Bulldogs, with coach Luke Beveridge having to address the situation almost weekly.
After his trade to the Suns was processed, Ugle-Hagan released a statement on social media, saying only "good things to come from here".
"Though it didn't end the way I would have liked, I have nothing but gratitude and respect for the Doggies," he wrote on Instagram.
"My time at the Kennel has come with its share of lows - there's no denying that - but the memories and friendships I've made will stay with me for life.
"From a shy 15-year-old who moved to Melbourne, the Doggies took me in and gave me a family and a home.
"For that, they'll always hold a special place in my heart.
"Part of me wishes things had ended differently, but I leave proud to have worn the red, white and blue.
"Thank you to all my teammates, coaches, and staff who've been part of my journey - I'm forever grateful."
Ugle-Hagan kicked 103 goals from 67 games for the Bulldogs after debuting in 2021.
He last played in the 2024 elimination final, a game the Bulldogs considered pulling him out of not long before it started.
But Ugle-Hagan's upside remains enormous and he could fit into a forward line with Ben King at the Suns.
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