After moving through the youth ranks of Serie A side Genoa, Ledesma joined Queens Park Rangers on a season-long loan in June 2008.

[4] On 2 February 2009 he left QPR by mutual consent to join Serie B side Salernitana in a half-season loan move.

[8] Ledesma scored one goal in aiding Walsall's successful survival against relegation,[9] before returning to Argentina to re-join boyhood club Defensa y Justicia.

[11] After struggling to establish himself in the first team squad, he added a second goal scored directly from a corner in a 3–1 victory over Preston North End in the third round.

[11] After struggling to get amongst the first team again in the 2013/2014 season, Ledesma earned a place in the lineup in December under new manager Aitor Karanka and scored two goals in two games.

[12] On 22 November 2014, it was announced that Ledesma had been recruited on an emergency loan deal to Rotherham United until January 2015.

[14] Following his release by Middlesbrough, on 2 July 2015 Ledesma signed a one-year deal with Championship side Rotherham United.

Following the end of the season, he was named the USL Most Valuable Player of 2018, chosen by a vote of media members and team management.