The France international duo have had a spectacular season, firing the Stade de Gerland outfit into title contention, and as such have been heavily linked with moves to the Premier League.
Fekir meanwhile has been a creative force as an attacking midfielder, with Arsenal running the rule over the talented star according to Mirror.
However, the English clubs’ transfer plans may well have to change following Lyon president Jean-Michel Aulas’ latest comments.
The outspoken chief has stated that the pair will play their football with the Ligue 1 club in 2015-16.
"It is in their interest (to stay) and they have decided to,” Aulas is quoted as saying by L’Equipe.
Lacazette in particular has attracted significant attention due to his goalscoring exploits this term, with the homegrown striker now becoming a regular fixture for the French national side also.
Fekir opted to represent France over Algeria and has proven himself more than good enough to play international football.