Gomez was involved in a bust-up with Raheem Sterling at Three Lions training on Monday and received the negative reaction from supporters after coming on as a substitute during the 7-0 win over Montenegro at Wembley on Thursday night.
The clash between the two England colleagues occurred only 24 hours after Gomez's Liverpool knocked off Sterling's Manchester City 3-1 in a pivotal title game, with tension between the pair evident during the 90 minutes.
Van Dijk, who witnessed the unease between the English duo during the Premier League match, called the Three Lions supporter reaction to Gomez 'disappointing', but hopes the incident can be moved on from swiftly and that his Liverpool team-mate is left in peace.
"I want to say as well it's been dealt with. I think everyone should stop talking about it because it's just a thing that happened. They all sorted it out.
"Everyone needs to move on, leave Joe especially alone. But yes, it was disappointing to see."
With Liverpool creating an eight-point lead at the top of the Premier League table ahead of Leicester City and Chelsea following the win over City, Van Dijk was asked about whether the Reds would end their 30-year wait for a league title.
"I'm not gonna say that [it feels like Liverpool's year]," Van Dijk said.
"It's something for the media. For players the main thing is we focus on the game ahead of us.
"For me personally it's Northern Ireland, it's a tough task. What happens with Liverpool in the future we'll see, we have no influence on it, the season is so long. My focus is on the next game, at the moment that's [with our] national teams."