It was announced last week that the Frenchman is due to stand down at the end of the season and the Gunners are currently searching for a new manager.
Former Barcelona coach Enrique is currently the favourite with bookmakers.
Asked for his opinion on the Spaniard, Wenger said: I have a high opinion of him but I do not want to influence the job of the next manager.
Of course I have a high opinion on Enrique.
Reports suggest Arsenal could find themselves in a tussle with Chelsea for the services of Enrique with their London rivals set to replace Antonio Conte.
Its also been reported that the 47-year-old, who won the Champions League during his time at Camp Nou, will demand as much as £15million-a-year to replace Wenger.
Latest next Arsenal manager odds
Luis Enrique 3/1
Mikel Arteta 13/2
Joachim Loew 9/1
Max Allegri 9/1
Brendan Rodgers 11/1
Carlo Ancelotti 16/1
Patrick Vieira 16/1
Leonardo Jardim 16/1
Diego Simeone 20/1
Odds courtesy of Betfair.
More: Arsenal FC
While Wenger seemingly approves of Enrique, the current Arsenal boss confirmed he will have no official input over who succeeds him.