The Clarets, without a manager since parting company with Brian Laws on December 29, approached their Championship rivals on Thursday night about the 41-year-old Scot, who has steered the Canaries into third place following their League One title success last season.
But a Norwich statement read: "Under no circumstances would the club wish to grant permission.
"The club will fight tooth and nail to retain the services of Paul Lambert and his team during this critical period of the season and whilst they remain employed under a long-term contract. The club remain committed to Paul and his team in the long term and see them as a vital part of our plans."
Source: PA
Source: PA