The 20-year-old is currently on international duty with Norway Under-21s as they prepare for a European Championship qualifier against Latvia in this month's international break.
Since making his debut in September 2020, Arnstad has made 54 appearances for Anderlecht, scoring once during that three-year period as a first-team player at Lotto Park.
The midfielder gained a wealth of European experience last term, playing 11 matches in the Europa Conference League as Brian Riemer's men reached the quarter-finals before losing to AZ Alkmaar of the Netherlands.
Speaking to Norwegian news outlet VG ahead of a crucial clash against Latvia in Under-21 Euro qualifying, Arnstad confirmed that Burnley had made an unsuccessful attempt to sign him in the summer transfer window.
«They did not agree [a deal], but of course it is cool to have some interest,» Arnstad told the media during an in-person interview at a player hotel in Drammen.
«Of course it is cool. It is a dream to play in the Premier League one day. Now there was no agreement, so I just try to focus on where I am now.»
According to TV2, Burnley had three bids for Arnstad turned down by the Belgian side during the latest transfer window, as Vincent Kompany looked to bolster his engine-room options.
The report adds that the Clarets' final offer was worth in the region of £4.5m, however Anderlecht's stance did not change throughout the negotiations — they did not wish to see the youngster depart.
Arnstad signed a new contract at Lotto Park in the summer of 2022,
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