The Argentine winger is encouraged by the talent coming through the ranks at St James' Park as the Magpies aim to improve on last season's 16th-place league finish
Alan Pardew is expected to welcome back the senior members of his squad from their summer break as the Magpies boss aims to begin preparations for the new Premier League campaign.
Gutierrez, entering his sixth season at St James' Park, is encouraged by the talent coming through the ranks and has challenged the youngsters catch Pardew's eye.
"They have a great future ahead of them but they have to learn, they have to be clever," he told the club's official website.
"There is a good opportunity for them here at Newcastle. I wish that when I was their age I was at a club like this one with these chances.
"Players do not always have this opportunity and they should realise how lucky they are.
"They are young and they have to focus on football. They have to learn and to train hard, showing the manager that they can play.
"If they can do that, they are going to be in the squad and will have more and more opportunities."