Palacio debuted in a UEFA Europa League qualification match against Croatian side Hajduk Split.
He scored his first Inter double in a friendly against Bizertin of Tunisia on 18 August.
He then scored his first official goal for Inter on 23 August in the play-off round of Europa League qualifiers against Romania's Vaslui.
He scored again in the return leg in Milan on 30 August, making the final score 1–1 as Inter progressed to the competition's group stage.

He scored his first goal in Serie A for Inter on 21 October in a 2–0 victory at the San Siro against Catania.
On 4 November, he scored the final goal in a 1–3 win against defending league champions Juventus while on 8 November, he scored a brace in a Europa League match against Partizan (1–3) that took Inter into the competition's round of 32 with two group stage matches to spare.
During a second round match in the Coppa Italia against Hellas Verona on 18 December, after an injury to goalkeeper Luca Castellazzi and after all three of the club's substitutions were exhausted, Palacio, wearing Vid Belec's jersey number 27, was put into goal for the final 15 minutes of the match.
He did not concede a goal to the opposition in a 2–0 final win and even made a fine save in the 91st minute, stopping a diving header from the right side of goal by Verona midfielder Alessandro Carrozza.

On 14 February 2013, in a match against Romanian side CFR Cluj in the first leg of the Europa League Round of 16, Palacio was substituted in seven minutes into the game after a season-ending injury to starter Diego Milito.
Palacio came on and finished the game with both goals scored in a 2–0 victory.
On 3 March, against Catania, Palacio was substituted in at the beginning of the second half at a time when the Nerazzurri were down 2–0.
Palacio went on to provide an assist for Ricky Álvarez's goal, then scored twice himself, leading Inter to a 2–3 comeback victory.
On 3 April, Palacio scored his second double of the league season against Sampdoria, raising his tally to 12 goals scored; in the same game, however, he strained his left hamstring, ultimately ending his season prematurely.
Palacio debuted in a UEFA Europa League qualification match against Croatian side Hajduk Split. He scored his first Inter double in a friendly against Bizertin of Tunisia on 18 August. He then scored his first official goal for Inter on 23 August in the play-off round of Europa League qualifiers against Romania's Vaslui. He scored again in the return leg in Milan on 30 August, making the final score 1–1 as Inter progressed to the competition's group stage.
He scored his first goal in Serie A for Inter on 21 October in a 2–0 victory at the San Siro against Catania. On 4 November, he scored the final goal in a 1–3 win against defending league champions Juventus while on 8 November, he scored a brace in a Europa League match against Partizan (1–3) that took Inter into the competition's round of 32 with two group stage matches to spare. During a second round match in the Coppa Italia against Hellas Verona on 18 December, after an injury to goalkeeper Luca Castellazzi and after all three of the club's substitutions were exhausted, Palacio, wearing Vid Belec's jersey number 27, was put into goal for the final 15 minutes of the match. He did not concede a goal to the opposition in a 2–0 final win and even made a fine save in the 91st minute, stopping a diving header from the right side of goal by Verona midfielder Alessandro Carrozza.
On 14 February 2013, in a match against Romanian side CFR Cluj in the first leg of the Europa League Round of 16, Palacio was substituted in seven minutes into the game after a season-ending injury to starter Diego Milito. Palacio came on and finished the game with both goals scored in a 2–0 victory. On 3 March, against Catania, Palacio was substituted in at the beginning of the second half at a time when the Nerazzurri were down 2–0. Palacio went on to provide an assist for Ricky Álvarez's goal, then scored twice himself, leading Inter to a 2–3 comeback victory. On 3 April, Palacio scored his second double of the league season against Sampdoria, raising his tally to 12 goals scored; in the same game, however, he strained his left hamstring, ultimately ending his season prematurely.
Rodrigo Palacio