The 19-year-old has become the subject of a tug-of-war between the two nations, owing to his fine performance in the Premier League.
Born to Ghanaian parents in the United Kingdom, he currently represents country-of-birth England at youth level but Ghana has launched a bid to win over his allegiance.
“He’s certainly not a person who would give up on anything,” Potter said as reported by Ghanasportsonline.
"Then it's about him and his family and what the right decision for him is.
"Whatever decision he makes [about his international future], I would fully support and try to help him achieve his goals.
"But as a person, as a character, he’s a top guy. He’s not one that will give up, that’s for sure.”
Continuing from where he left off last season, Lamptey started the 2020-21 Premier League term on a high note with a good performance despite Brighton's opening day 3-1 loss to Chelsea.
On Sunday, he put up another splendid display as the Seagulls handed Newcastle United a 3-1 defeat, winning a penalty for the opening goal and setting up the second strike of the day.
“He’s got such pace, he threatens the backline of the defence so well and then he does his own defensive work as well, he’s amazing,” said Potter after Sunday's match week two fixture, his club's official website reported.
“I have spoken about his personality a lot, he just wants to improve and wants to learn, he’s so refreshing to work with.”
Ghana has targeted Lamptey, together with Arsenal striker Eddie Nketiah, who was born in London to Ghanaian parents, for a switch of international allegiance.
Anderlecht duo Francis Amuzu (Belgium) and Derrick Luckassen (Netherlands), Ajax striker Brian Brobbey (Netherlands), Alexander Djiku of Strasbourg (France), Enock Kwateng of Bordeaux (France) and Genk midfielder Elisha Owusu (France) are some of the Black Stars’ other targets.