Hertfordshire Police said it was looking for Aidan Chaves in connection with "an incident of affray" in Sawbridgeworth, Hertfordshire.
The game between Sawbridgeworth Town and Clapton FC on 25 March was abandoned.
It followed reports a player appeared to get a  knife out after being spat at by a Clapton fan.
Mr Chaves is believed to be in Hertfordshire.
Police said the 26-year-old also had connections to London.
The Essex Senior League match, taking place at Sawbridgeworth's Crofters End ground, was abandoned after 95 minutes.
Following the match Sawbridgeworth Town said a player's registration had been terminated.
A spokesman for the club said the player in question would "never represent" them again and had been given a life ban from the ground.
Clapton was declared the winner because the score stood as it was at 95 minutes Sawbridgeworth Town 0 - Clapton 1.

BBC Wiltshire report the 23-year-old forward left Sixfields before kick-off, having been told he wasn't involved in the squad for the League One match.
Head coach Luke Williams said the matter would be dealt with "in house".
The Robins are in the relegation zone after five straight losses, four points from safety, with 14 matches remaining.
Swindon have won three, drawn four and lost 11 of their 18 games in all competitions since Tim Sherwood's appointment as director of football on 10 November.

Yorkshire Water said the problem was detected at water treatment works at Tophill Low and Keldgate.
A spokesman said the issue had now been resolved but it could take several hours for water supplies to return to normal.
The HU7 and HU8 postcodes were particularly affected by the problem, along with other places in the city.
Tens of thousands of residents could be affected, but the exact figure will not be known until an investigation has been carried out.
Yorkshire Water said: "We apologise for the inconvenience caused this morning and hope to get the issue resolved and the water supply back to normal by the end of the day."
A non-league footballer who allegedly brandished a knife at an opposition fan is being sought by police.
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