Leboeuf admits as a Chelsea fan he cannot complain too much about Sunday's Carabao Cup final defeat to Liverpool as the players aren't at a level their price-tag suggests.
The Frenchman told Tribalfootball.com: "I think they all did their best - but that's the problem!
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"With the players they have, you can only complain about the result - that's why I'm upset.
"It's because they worked so hard. They did their best. That's why it's upsetting as they all tried. But that's not enough for Chelsea... that's what it is!
"And that's the thing they're going to have to think about this summer as fans are going to get upset. Very upset.
"One season? Two seasons? Another one? Again? Ah c'mon! This is not possible. We cannot finish in the middle of the table. We cannot show the world that we're so fragile. We're Chelsea Football Club!"
- Frank Leboeuf was speaking to Tribalfootball.com on behalf of BetVictor