Low has until June 4 to submit his final 23-man squad that will represent Germany in Russian Federation and attempt to become the first back-to-back World Cup winners since Brazil in 1962.
Gotze scored in extra time, beating Argentina with a goal in the 113th minute in the World Cup final on July 13, 2014 at the Maracana in Rio de Janeiro, Brazil.
Neuer's Bayern team-mate Sandro Wagner has missed out - the striker's decision to leave Hoffenheim in January to play second fiddle to Robert Lewandowski at the Allianz Arena ultimately backfiring as Low selected uncapped Frieburg forward Nils Petersen.
Manuel Neuer's fitness will be Germany's biggest question to answer ahead of the World Cup, but in case he is fit, there is no question as to who will don the No. 1 jersey for the defending champions.
The title-holders will have to submit their final 23-man squad including three goalkeepers on June 4.
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"He is alert right from the first moment when he goes on the pitch", Loew said.
"Marco is a special weapon, he has special gifts", Loew said.
Loew had a contract until the Euro 2020 finals, but Grindel had previously stated his job is safe regardless of how Germany perform at the 2018 World Cup finals, which kick-off next month.
In one way, his nomination does not come as a total surprise, as Loew has a habit of producing a player that no one previously had on their radar. "I expect quite a bit from him for the tournament". The 30-year-old Wagner has scored four goals in his eight internationals and was part of last year's Confederations Cup-winning team.
Germany are placed in Group F along with Mexico, Sweden and South Korea and will take on Mexico in their opening game on June 17.