Britt Assombalonga and Sam Clucas in action
Assombalonga is one of the best players on the books of Forest at the moment and is one of the best strikers in the Championship.
The 23-year-old has been linked with a move away from the City Ground in the summer transfer window.
According to The Nottingham Post, Sunderland, Rangers and Norwich City are interested in securing the services of Assombalonga this summer.
Nottingham Forest's Britt Assombalonga scores
The former Peterborough United striker, though, has made it clear that he wants to remain at Forest.
Assombalonga has admitted that he is flattered by the reported interest in him, but the former Watford striker has insisted that he is not affected by the speculation.
"I don't let the speculation bother me,” Assombalonga told Forest’s official website. “I need to focus on the important stuff which is that I'm a Nottingham Forest player and I'm happy. I want to test myself at the highest level but that will come one day.
"I don't have any personal targets for this season. I feel really good and just want to keep scoring as many goals as I can for the club.
“The interest is very flattering but I'm scoring goals here. I love all the lads here and we have a great squad.”
Britt Assombalonga celebrates after scoring
Assombalonga joined Forest from Peterborough in the summer of 2014 for a transfer fee reported by BBC Sport at the time to be worth about £5.5 million.
The 23-year-old has struggled with injury problems during his time at the City Ground so far, but when fit, he has been superb.
The striker scored 15 goals and created 24 chances in 29 Championship appearances for the Reds during the 2014-15 season.
Assombalonga could make feature in just two league games for Forest last season, while so far this campaign, he has scored two goals and created one chance in two Championship matches.
Nottingham Forest's Britt Assombalonga celebrates