On 7 March 2019, García signed his first professional contract with the Pepineros.[3] On 14 August 2021, before even having appeared for the reserves, he made his professional debut by starting in a 0–1 Segunda División away loss against Real Sociedad B.[4]
On 7 December 2021, after already being established in the first team squad, García renewed his contract with Leganés until 2027.[5] He scored his first professional goal the following 21 May, netting his team's third in a 3–0 away win over SD Ponferradina.