Having won the Premier League last year, the Foxes have endured a difficult campaign this season, which prompted the sacking of coach Claudio Ranieri in February due to an early relegation battle.
The side have since secured their topflight status under Craig Shakespeare, and Amartey believes a win at King Power Stadium on Sunday will be a deserving appeasement to the fans.
“We have to get our mentality right to get a win for the last game,” Amartey told LCFC TV.
“We’ll do our homework and focus on that game.
“Everybody has good spirit so I think if we’re playing at King Power Stadium, the fans support us a lot.
“Everybody wants to win the last game to make the fans happy. It’s good if we win, then we’ll see the table.”
Although Amartey played 18 more games than he did last season, his current campaign still remains far from what he had wanted.
Following the departure of N'Golo Kante to Chelsea, the Ghana international enjoyed a run of games in midfielder until his departure for the 2017 Africa Cup of Nations in January.
The 22-year-old made five outings upon his return until a full-time appearance in last weekend's 6-1 defeat to Tottenham Hotspur.
He will hope to take his season tally to 24 against Bournemouth.
"Bournemouth are good too – they’re good at defending and create chances," Amartey said.
“They’ve won three games recently but they’re coming to King Power Stadium so we have to focus, be compact and take our chances."
Amartey joined Leicester from Danish outfit Kobenhavn last year.