On 4 February 2022, Ortíz was loaned out to Danish Superliga club FC Midtjylland for 18 months from América de Cali with a purchase option.[2] However, already on 13 July 2022, Midtjylland decided to trigger the purchase option and buy him free from his contract with América de Cali, with Ortíz signing a deal with the Danish club until June 2027.[3] On transfer deadline day, 31 January 2023, Ortíz joined Liga Portugal 2 club Mafra on a loan deal for the remainder of the season.[4]
On 7 September 2023, Ortíz joined Czech First League side Pardubice on a loan deal for the 2023-24 season.[5] Gartenmann was back in Midtjylland for the pre-season ahead of the 2024-25 season.[6]