The defending champions will also be without Zidane's Real Madrid team mate Claude Makelele for the Confederation's Cup.
The 28-year-old France mid-fielder said he is staying with the Premier League champions after having considered a move to Real Madrid.
"With Vieira and Owen we would improve a lot," the Real Madrid midfielder said.
The Liverpool midfielder is keen on turning tables on his imposing Arsenal counterpart.
A 2-2 with local rivals Tottenham Hotspur secured them the title with four games to spare.\n\n
The Arsenal captain is a doubt for the match against Celta Vigo after injuring his knee on Saturday.
Manchester City moved 11 points clear at the top of the English Premier League after a last-gasp goal from Rodri gave them a 2-1 victory at fourth-placed Arsenal on Saturday in a controversy packed game at the Emirates stadium.
FIFA will take no disciplinary action against Croatian side HNK Rijeka following Manchester City's allegation of racism during an under-21 friendly in July, world soccer's governing body said on Monday.
IMAGES from the Premier League matches played on Sunday.
Newcastle's worries deepened as they now remain at 19th in the table.
Liverpool forward Sadio Mane, who is also out of contract at the end of next season, told Sky Sports he would address his future after Saturday's final.
Images from Sunday's action in the Premier League.
A summary of Tuesday's action in the Premier League.
IMAGES from the English Premier League matches played on Saturday.
Arsenal's Laurent Koscielny is the best defender in the Premier League, according to former England and Manchester United centre-back Rio Ferdinand. Ferdinand also praised the Gunners backline in Wednesday's impressive 3-0 Champions League win over Greek champions Olympiakos Piraeus, which sealed their progress to the knockout stages for a 16th consecutive year.
Liverpool forward Sadio Mane scored his 100th goal for the club to help secure a 3-0 victory over lively Crystal Palace in the Premier League at Anfield on Saturday.
Kylian Mbappe missing the decisive kick in the shootout as world champions France were eliminated from Euro 2020 by Switzerland on Monday encapsulated the biggest lesson of an extraordinary night -- you cannot rely on individual brilliance alone.
The match lived up to its billing right from the start
News of all that's transpired on and off the football field
Dutch soccer star Robin van Persie returned to his home ground on Monday as he signed with Feyenoord Rotterdam hoping for a positive ending to his dwindling career.
Some English clubs may consider vaccine status of transfer targets
A summary of Saturday's action in the Premier League.
Images from the English Premier League matches played on Sunday night
Images from Sunday's Premier League action.
IMAGES from the English Premier League matches played on Saturday
New York City coach Patrick Vieira saluted Frank Lampard after the former England and Chelsea midfielder announced on Monday he will be leaving the Major League Soccer team when his contract expires next month.
IMAGES from the English Premier League matches played on Saturday.
'There is a special bond in this team. There is something waiting to come out that is special. Hopefully that will come out next season'
Images from the English Premier League matches played on Saturday.
Ayew strikes as Palace hold Southampton to 2-2 draw
The result leaves Ole Gunnar Solskjaer's United in 10th with nine points, their worst start after seven games for 30 years, and they have won just one of their last six league games.
Images from Sunday's English Premier League matches.
News of all that's transpired on and off the football field
Arsenal host Manchester United on Sunday in a clash crucial to both clubs as they try to finish the season in the top four of the Premier League. We look at five standout matches between the clubs.
IMAGES from Premier League matches played on Saturday.
Arsene Wenger often says he has no time to look back because he is so focused on the future but he spent a minute reminiscing on Friday on the 10th anniversary of the defeat to Manchester United that ended Arsenal's famous 49-match unbeaten run.
Images from the English Premier League matches on Saturday.
Imperious Liverpool extended their Premier League home winning streak against Arsenal to six on Saturday with an easy 4-0 victory that lifted them to second in the table.
La Liga leaders Barcelona handed Real Madrid more hope in the title race as they drew 0-0 at Athletic Bilbao on Sunday, only avoiding defeat thanks to some outstanding saves by Marc-Andre ter Stegen.