The 63-year-old remains in a coma but is in a stable condition following the incident, which took place in a service station near Drongen after City’s 5-1 win on Tuesday evening.
Guardiola wore a t-shirt bearing the message ‘We’re with you Guido’ for his pre-match press conference ahead of this weekend's game against Brighton and Hove Albion.
The manager sent his best wishes to De Pauw, who is a member of the Blue Moon Belgium Supporters’ Club, and reiterated the message that he and his family have the full support of everyone at the Club.
“On behalf of all of the Club, from our Chairman Khaldoon [Al Mubarak], for him, we are quite optimistic,” said Guardiola.
“In the last hours he is getting better and of course he has all of the support from the Club on what they need for the investigation.
“A big hug for him and all his family. We wish soon he will come back to the Etihad Stadium to follow us at home games and away games.
“Hopefully, it won’t happen again. It’s difficult to understand why people can go to enjoy a football game and after, sometimes these terrible things can happen.
“Hopefully, in Brugge they will do the right investigation and they can take [action on] the people who have been involved in this terrible incident.”