Lynch impressed by trialists
Internacional have told potential suitors of Leandro Damiao that they will only part with him for the right price.
Tottenham Hotspur and Southampton have previously been linked with the Brazil international striker, but their interest appears to have cooled as Internacional aim to keep hold of one of their star men.
They are prepared to let him leave if an acceptable offer is submitted, but have previously told Napoli that a bid of €18million (£15m) would not be considered and stressed that his valuation is only likely to increase after next summer's World Cup.
Zenit St Petersburg are reported to have joined Napoli in the chase for the 24-year-old's signature, but it will be difficult for anyone to prise him away.
Internacional's director of football Marcelo Medeiros told Zero Hora: "He is focusing on Internacional.
"If anyone wants to sign him, it would be a great deal, but they will have to pay a lot.
"He is still an Internacional player."
Goalkeeper Aaron Chapman, defenders Matty Brown and Ritchie Humphreys and winger Jamie Devitt have all signed contracts at the Proact Stadium during the close season having been invited to train with the League Two club.
Midfielders David Morgan and Hamza Bencherif are two more players currently trying to earn deals with Paul Cook's side.
Both have featured in recent pre-season friendly matches and Lynch has paid tribute to their hard work.
"David Morgan and Hamza both have good attitudes," said Lynch. "We know Hamza can play but we're being honest with him, and he's an honest lad himself, but he needs to be a little bit more fitter.
"He had a hard training session on Tuesday morning and with how hard he worked he actually lost 2lbs in weight. So it was testament to him that he played on (against Wolves) Tuesday night and put in a performance.
"But that's typical of the attitude and the effort the players are putting in and it's typical of the players we've looked at all summer.
"David works hard too and you can see he's a very good player. You don't be at Forest if you're not a good player.
"But it's about how he fits in with us and like we have with other trialists, we'll look at him. He's done himself no harm and it's a tough decision that the gaffer has got to make but there's no decisions being made as yet."
Morgan, 19, has been told by Forest that he is free to find a new club while 25-year-old Bencherif is a free agent after leaving Notts County this summer.