Gareth Southgate refused to comment on whether his players would leave the pitch if they were subjected to racist abuse.
Gareth Southgate believes England should "get its house in order" before criticizing others' behavior.
England faces Hungary in a World Cup qualifier at Budapest on Thursday. Home fans can still attend the match despite Uefa's ban for homophobic and racist abuses, as it is under Fifa jurisdiction.
Southgate believes England should learn from the Euro 2020 final when ticketless fans broke into Wembley.
"We have our own problems. He said, "I think we can sort ourselves out first."
After missing penalties in the shootout loss to Italy, Marcus Rashford and Jadon Sancho were all racially molested on social media.
Southgate stated, "We're ready for what comes in Hungary, but our players faced difficult things, and players' families experienced hard things in the final."
"So, it's not something I like when we see outside when our house isn't in order."
Southgate, who called the events of the final 'carnage', suggested that England could be subject to a stadium ban. Uefa is still yet to announce the punishment for the events.
He said, "I am always respectful when I travel away to a foreign nation. It's important to show respect to the hosts and to understand that these things can occur. It's happened in our country around the final and there's still so much ground to cover."
He said, "We don't know the outcome of our investigation into the final and maybe we end with a stadium ban."
"I believe we have a lot to go before we can start to predict what might happen in a different game."