The 35-year-old Lille keeper, who sustained a knee injury earlier in the year, returned to the field with Les Dogues’ U18s this month after seven months out of action.
According to reports in the French media on Wednesday, Angers manager Stéphane Moulin wants Enyeama to replace Les Scoïstes’ second goalkeeper Mathieu Michel, who is set to join Nimes Olympique.
L’Equipe claimed Lille had told Angers, who occupy the 19th position in the 20-team elite French league, they must pay €500,000 to €1m to take their Nigerian import to Stade Raymond Kopa during the January transfer window.
Enyeama, who represented Nigeria at the 2002, 2010 and 2014 World Cups, has 18 months left on his contract with Lille.
Lille will not sign any players during next month’s transfer window following their ban by the French football financial regulatory body.
Meanwhile, Henry Onyekuru is in danger of missing out on next year’s World Cup after being ruled out for the rest of the season with a serious knee injury, according to BBC Sport.
The Nigeria striker, who is on loan at Belgian side Anderlecht from English club Everton, suffered the injury against former club Eupen on December 22.
Recent scans showed the injury to be more serious than initially suspected.
“He could be out for as long as six months,” Anderlecht coach Hein Vanhaezebrouck told reporters.
It is a cruel blow for the 20-year-old, who had played in 19 league games and appeared in four Champions League matches for the Brussels outfit.
He was given a run out in Nigeria’s last World Cup qualifier in Algeria in November when he came on in the second half of the 1-1 draw and was hoping to make Gernot Rohr’s final 23-man squad for Russia in June.