Club career
Early years
Pardo began his professional career with Atlético Huila in 2007 before being loaned out to Deportivo Cali for the first half of the 2009 season. He scored his first goal with Deportivo Cali against Independiente Medellín in a 3–1 league win.
In July 2009, he was loaned out to Independiente Medellin. On 6 August, he scored his first goals for El Poderoso, a brace in an El Clásico Paisa victory. In December, he was part of the squad that won the 2009 Finalizacion tournament, and the club signed him on a three-year contract a few days after winning the title. In March 2013, he left the club after almost four years.
Braga
On 16 April 2013, Pardo joined Braga for an approximated €600,000 transfer fee signing a four-year contract. He completed his first season in Portugal's top flight, the Primeira Liga, with 9 goals and 5 assists in 41 appearances, establishing himself as a dependable option on the right flank of the attack. He finished the 2014–15 season with 35 appearances, scoring 10 goals and making 9 assists, including a brace in a 4–0 victory over Penafiel.
Pardo was an important player for the club in their run to the 2015 Taça de Portugal final, scoring his team's second goal in the fourth round victory over Vitoria Guimaraes, followed by a winning goal over defending champions Benfica in the round of 16, and then a goal in the QF, a 7–1 victory over Os Belenenses.
Olympiacos
On 17 July 2015, after two years of exceptional football in the Portuguese top flight, he transferred to Olympiacos, for a fee of €4.5 million. The transfer was announced on Olympiacos' website on 18 July.
On 16 September 2015, Pardo made his debut in Champions League, playing in a 3–0 home defeat against Bayern Munich. On 29 September, he contributed to a shock 3–2 away win against Arsenal in the Champions League, scoring the opener and assisting Alfreð Finnbogason to seal the win.
On 4 November, Pardo came off the bench to inspire a comeback victory against Dinamo Zagreb in Piraeus, scoring twice with the second goal coming in the 90th minute. His performance earned him a place among the Champions League team of the week. On 3 January 2016, he scored his first goal in Greek Super League and assisted Brown Ideye for the winning goal in a 3–1 away win against Panionios. He was also named "Man of the Match".
Nantes (loan)
On 11 January 2017, Pardo joined Nantes on loan for the second half of the season.
Back to Olympiacos
In the summer of 2017 Pardo returned to Olympiacos. On the last day of the summer transfer window, Argentinian club Independiente made a €2.6 million offer for the Colombian, but Olympiacos declined the offer, as coach Besnik Hasi desired to maintain the player in the team roster.
On 12 September 2017, he scored twice having come on as a substitute in a 3–2 Champions League Group stage loss against Sporting CP at the Karaiskakis Stadium, becoming only the fourth player in Champions League history to score a brace in the same match coming off the bench. On 5 November, he scored a brace in a 5–1 home Super League win against Platanias.
Pardo's playing time in the 2018–19 season was heavily reduced due to being unfavored by head coach Pedro Martins, only making two appearances in six months.
Toluca
On 2 January 2019, Pardo left Olympiacos after three and a half years and 77 caps, 15 goals, 13 assists in all competitions and joined Deportivo Toluca of Liga MX.
Return to Independiente Medellín
On 1 January 2022, he returned to his first club as a professional, Independiente Medellín. He scored his first goal on 25 January during a 1–0 victory at home to Deportes Tolima in the league's first matchday.
Aguilas Doradas
In January 2024, he joined Aguilas Doradas to dispute the 2024 Apertura tournament on a six-month contract, making 12 appearances and scoring once in a 2–1 defeat at the hands of Deportes Tolima.
