A repeat of last season's performances in Europe from English and Italian clubs would see the Premier League lose its fourth Champions League qualifying spot to Serie A in 2017-18.
"I think there was a lot of misfortune last year," Ozil told the club's website ahead of Tuesday's Group F tie with Greek national champions Olympiakos Piraeus.
"When you look at the English teams you see they are strong...they have a lot of players in their ranks who have a lot of quality.
"In the knockout rounds sometimes one goal or the away goals ruling can decide ties, like with us against Monaco," added Germany's 2014 World Cup winner Ozil.
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"We had some bad luck and as a team you need more fortune. I think it will be different this year, the English sides are well equipped and will go far."
England's teams have also made a poor start this season with Chelsea the only side to win their opening Champions League game.
No English side has reached the semi-finals since Chelsea lifted the trophy in 2012.
Ozil said Arsenal's 2-1 Champions League defeat by Dinamo Zagreb had prompted a reaction from the squad.
"Defeats always rouse the team more and our aim this season is to go as far as possible and, if possible, to win it because we have the potential," said the 26-year-old.
"Anything is possible and that's what we want to show this year. With a bit of luck we can reach our target."
(Reporting by Shravanth Vijayakumar in Bengaluru; Editing by Tony Jimenez)
