The Hancock helmer explained that he approached Battleship as a unique entity, but found ways to make reference to the board game.
Speaking to The Hollywood Reporter, Berg said: "Battleship's a unique experience. It certainly doesn't have any direct correlation to the game. That being said, it was a lot of fun to try to find ways to reference the game.
"If you look at the ordinance that the enemies use, it looks a bit like pegs. Both of our ships' radar systems have trouble seeing each other, so they gotta try and predict where the enemy is so that they can go after them."
Berg continued: "They were certainly never mandated, but anybody that's of a certain age that knows the game will look at it and probably kind of smile to themselves... I guess they could say, 'This is preposterous!' and storm out of the theatre.
"I don't think they will, but hopefully they'll say it's kind of a clever reference to the game."
Berg also praised Rihanna's performance in the film, commenting: "To take someone like Rihanna with so much charisma and be the first one to [work with her] as a director is fantastic.
"The girl is just a ball of emotion and creative energy and to be able to have that is really a lot of fun, and I love letting the audience discover something fresh."
Rihanna stars alongside Taylor Kitsch, Alexander Skarsgard, Brooklyn Decker and Liam Neeson.
Battleship will arrive in UK cinemas on April 11 and is released in the US on May 18.
> Tweet questions for Digital Spy's live Twitter chat with Brooklyn Decker on March 28
Watch a trailer for Battleship below: