Céliz began his career with Arsenal de Sarandí.[1][2] He appeared for his debut in September 2012 against River Plate, as the club conceded four unanswered goals away from home in the Argentine Primera División.[1] He made fifteen appearances in the 2012–13 season, as well as netting his first goal on 11 March 2013 versus Lanús.[1] Céliz didn't feature in the first part of 2013–14, subsequently leaving on loan to Gimnasia y Esgrima in 2014.[1] Two goals in twenty-one followed in Primera B Nacional.[1] A return to Arsenal followed for the upcoming 2014 campaign, as he played twelve times under Martín Palermo.[1]
Gimnasia y Esgrima resigned him in 2015.[1] He scored eight times back on loan with them.[1] Céliz went back to Arsenal for seven months prior to rejoining Gimnasia y Esgrima for a third time - this time on a permanent contract.[1][3] His third stint lasted the 2016–17 Primera B Nacional, as he took his total tally for the club to ninety-two matches and fourteen goals.[1]Peruvian Primera División side Juan Aurich signed Céliz in August 2017.[1] He netted on his debut versus Cantolao, on the way to relegation to tier two.[1] Céliz went back to Argentina in the succeeding January, agreeing a deal with Independiente Rivadavia.[4][5]