Georgy Bushchan was born in Odessa, where he started playing football, although he could associate himself with another sport - swimming, which he played for some time. The boy's idol in football was Andriy Shevchenko, so at first Georgy wanted to be a striker, but the coach of Odessa CYSS-11 Vitaliy Gotsulyak decided otherwise: at the age of 9 the boy tried to try for the position of central defender due to his tall stature, but Georgy took offense. and stated that he would be a goalkeeper.
Thanks to the successful performances in the DUFL competitions, the coaches of the youth national teams of Ukraine and the selectors of the leading clubs of the country drew attention to Bushchan. In the end, Bushchan chose Dynamo Kyiv among others, although he initially leaned towards Metalist. Continuing his career in Kyiv seemed unreal and fantastic to him, but on his mother's advice, Georgy took a risk and did not lose. Bushchan was first included in the bid of Dynamo's main team in December 2011 for a match against Metalurh Donetsk. The main reason for this decision was the acute shortage of goalkeepers, as Alexander Shovkovsky was injured and Artem Kichak was not declared for the autumn part of the championship. However, Bushchan did not appear on the field then, being a backup of Maxim Koval and played for a long time for the youth teams "Dynamo", and in 2014-2015 he played in the reserve team "Dynamo-2" in the First League.
On August 20, 2017, he made his debut for the main team in the Premier League match against Stal (Kamyanske) (4: 1). On November 2, 2017, he made his debut in the Europa League in a match against the Swiss Young Boys (1: 0). It was predicted That he would become the team's main goalkeeper in the second half of the championship, against the background of unsuccessful performances of Koval and Rudko [absent from the source], but suffered damage at the winter training camp, forcing the club to "Besiktas" by Denis Boyko. After recovering, he lost the fight for a place in the starting lineup to a senior colleague, in the 2018-19 season he played only 9 matches out of 49 possible. However, the following year he started to win the competition from Boyko after a series of uncertain matches of the latter. And finished the 2019-20 season as the team's main goalkeeper, having played 28 of 45 matches.
In the 2020-21 season, before the October break for international matches, he played for Dynamo without exception, including the final home match of the UEFA Champions League play-off qualifiers against Belgium's Ghent, which Kyiv won with a score. 3: 0. In this match, Bushchan, having made 12 saves and not conceding a single goal in the net, helped Dynamo for the first time in 4 years to make it to the group stage of the Champions League.