Antonio Conte said revealed, Inter had to prepare “with or without me”, as he cast doubt on his future.
Zhang praised Conte’s work at San Siro before he said that Inter needed to look ahead.
“We want to keep winning. It hasn’t worked now but we’ll try again next year,” he told Sky Sport.
“The most important thing is to continue to grow because the future is bright. Antonio Conte and his technical staff are doing a great job.
“As I said, we’ll rest for a few days and plan for the future.”
Romelu Lukaku scored an early penalty in the final against Sevilla, but Diego Godin’s goal had Inter level after Luuk de Jong’s brace.
But Diego Carlos’ overhead kick deflected off Lukaku for what proved to be the match-winner with 16 minutes remaining.
Zhang was upbeat about Inter’s campaign despite their near misses in Serie A and the Europa League.
“I think our season has been a positive one. Our path led us to this point where we could contest a final,” he said.
“The whole club is doing some great work, on and off the pitch. We’re working in this direction, win or lose, it’s all a part of football, but competing at this level and giving our all is important and makes us optimistic.
“Now we’ll rest. The players and staff deserve some rest. The new season starts soon and over the next few days, we’ll work on the future but the mentality never changes.”