Alexandropoulos plays mainly as a midfielder and joined Panathinaikos from the team's youth ranks. Having turned 19, he became a near automatic starter for Panathinaikos in the 2019–20 season.
On 15 June 2021, he signed an extension with the club until the summer of 2024. On 11 September 2021, he scores his first goal for Panathinaikos senior team, against Apollon Smyrnis on a 4–1 win, at the first game of the season[2]
On 21 May 2022, Alexandropoulos won the Greek Cup with Panathinaikos against PAOK, his first trophy in his senior career.
Sporting CP
On 29 August 2022, Alexandropoulos signed a five-year contract with Portuguese club Sporting CP for a fee of €4.5 million, with Panathinaikos also receiving 30% of a future transfer.[3] On 2 September, he made his debut for the club, replacing Manuel Ugarte in the 89th minute in a 2–0 away win against Estoril in the Primeira Liga.[4]
Loan to Olympiacos
On 3 August 2023, Olympiacos announced the acquisition of Alexandropoulos. The 21-year-old midfielder signed on an initial one-year loan with a purchase option for the following summer, amounting to €4 million.[5]