"I think it's important that our fans come and enjoy the game, that they support us in the right way, but I would strongly urge them to behave in the right way and respect our opponents and the country they're in", Southgate said on Thursday evening.
"Anything else that takes away from that performance for them would be a great shame".
England won 1-0, Manchester United's Jesse Lingard scoring the decisive goal.
Glass can be heard smashed as the friendly fixture continues to be marred by videos emerging of trouble in Amsterdam.
The FA will review those caught up in trouble in Amsterdam to see if ESTC members were involved and punish them accordingly.
Josh Mahoney, 23, is in Amsterdam with family for his first England game and told the Press Association the police were "very heavy handed". There was a riot van at the door pulling fans out of the pub.
Fodder scam: 14 year jail term, Rs 60 lakh fine for…
Lalu has already been convicted in three other cases of the scam which took place when he was the chief minister of Bihar. In the Dumka case, the court of special CBI judge Shivpal Singh convicted Prasad and 18 others on March 19.
Giannis Antetokounmpo to be featured on 60 minutes
The Bucks ruled Giannis Antetokounmpo out for the remainder of Wednesday's game after he suffered a sprained ankle. Antetokounmpo, in 17 minutes of action, made five of his nine shots and had 12 points.