Monaco boss Leonardo Jardim has said Radamel Falcao will be part of the side's push for the Ligue 1 title next season.
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Falcao, 28, scored the only goal as Monaco defeated Arsenal 1-0 in the Emirates Cup on Sunday -- his first game since rupturing knee ligaments in January.
The Colombia international signed a five-year deal with the principality club last summer, when he moved from Atletico Madrid for a reported 60 million euros.
However, he has regularly been linked with a return to Spain, with Real Madrid reportedly keen to sign him.
Jardim, though, told reporters that the player would be going nowhere, despite James Rodriguez urging his Colombia teammate to follow his example and switch from Monaco to Real Madrid.
"At this moment in time, Falcao is our player, and he is with us 100 percent. We don't want to let him leave," he said.
"It's a shame that we have lost James Rodriguez, but we can count on Falcao. It matters little what people say -- he's our player. He'll be with us this season."
Former Porto man Falcao made a fine start to last season, scoring nine goals in 17 league games before sustaining his ligament injury in a Coupe de France tie in January.
Speaking to RMC, Monaco sporting director Vadim Vasilyev said he felt the forward would shine again as the club battled for domestic and Champions League success.
"I am counting on him for the 2014-15 season," he said. "It will be Falcao's season at AS Monaco. Rumours are part of football. Sometimes they're true, but others are just unimaginable. That's football, and I like it."
Meanwhile, a report in France claims that Monaco president Dmitri Rybolovlev has struck a deal with the principality that means he will pay only half of a 50 million-euro compensation package owed to rivals clubs.
Monaco and the French Football League (LFP) reached an agreement in January that last season's Ligue 1 runners-up would pay a one-off fee to be exempt from the LFP's demand that all clubs in their competitions be based in France for tax purposes.
Le Parisien reported on Monday, however, that Rybolovlev has successfully negotiated a tax break with Monaco authorities, effectively meaning the Russian billionaire will only have to pay 50 percent of the sum agreed with the LFP.
The division of the sum is yet to be decided upon. One option would be to divide it based on clubs' popularity, in a similar way to the sharing of TV rights' money, though the professional clubs' union, the UCPF, is more likely to adopt an equal 1.3 million-euro slice for each of the French top flight's other 19 clubs.
The teams could already have had that money had seven clubs, including Paris Saint-Germain and Marseille, not taken a case to the State Council, France's highest court for administrative issues, arguing the sum was insufficient.
As long as the State Council has not delivered its judgement, the payments have been frozen.