The phrase "allow complacency" is correct and usable in written English.
It can be used in contexts where one is discussing the acceptance or tolerance of a lack of concern or satisfaction with the current state of affairs.
Example: "The management's decision to overlook the declining sales figures may allow complacency to set in among the staff."
Alternatives: "permit complacency" or "encourage complacency".
Cannavaro will not allow complacency.
"But we cannot allow complacency about the justice system.
It's about trying to build consensus, but not allow complacency.
A level playing field does not allow complacency to take root, ensuring service providers are constantly motivated to do well.
Mourinho, whose side are still fighting for the Premier League and Champions League trophies, will not allow complacency to set in with a midweek fixture away at West Ham to come.
It's an Old Firm game and Neil has been through enough of them as a player and a manager, so there's no way he'll allow complacency to creep in to his team.
But Walcott admits that, having allowed complacency to set in against Monaco, the lessons will be learned if Arsenal are paired with Zenit or Wolfsburg Manchesterer United's conquerors in Germany on Tuesday.
If Mr. Bush is merely the latest president to put off grappling with the big issues of space, NASA also allowed complacency to take hold, ignoring the most fundamental lessons of the Challenger disaster.
But for others, particularly homeowners and the elderly, the stories were told with relief -- so great was their concern that the police might be allowing complacency or criticism to dampen vigor.
Another, although Lawwell and his colleagues would vehemently dispute it, is the sense that Rangers' removal from prominence has allowed complacency or lack of ambition to creep in at Celtic.
I felt annoyed, annoyed they allowed complacency to set in as the public took for granted that an unqualified Trump would lose to a more seasoned Clinton.
