The club told BBC Radio Leeds they were investigating the matter with their safety officer and with local police.
In a statement, West Yorkshire Police said they would work closely with the club to establish whether chanting of a "racial" nature had taken place.
Superintendent Dave Lunn of Kirklees Division said: "This was a successful policing operation of a local derby, which saw only four arrests for public order offences.
"Our priority was around achieving a safe and enjoyable match for all those attending, both prior to and following the event.
"We worked closely with the club to achieve this outcome. I would therefore like to thank the fans for their behaviour throughout, in particular their patience in relation to exit arrangements from the ground."