Skhirtladze started training with the Danish side AGF in January 2011. After several months with reserve squad, he was eventually granted professional contract and joined the first-team.
In January 2016, Skhirtladze joined Silkeborg on a free transfer.[2] He left the club after a mutual agreement in September 2018.[3]
On 12 February 2021, Skhirtladze returned to Denmark and joined Danish 1st Division club Viborg FF on a deal for the rest of the season.[4] He left Viborg again at the end of the season.[5]