Vlasic is currently on loan at CSKA Moscow scoring seven goals in 20 games – including a Champions League strike against Real Madrid.
The 21-year-old joined Everton last season, though he played just 12 league matches while he made 13 senior appearances in cup competition.
Vlasic was signed from Hajduk Split for £10million by Ronald Koeman – but the Dutch manager would be sacked and replaced by Allardyce in the November.
Speaking to Sportske Novosti, Vlasic claimed ‘everything changed’ after Allardyce took charge at Goodison Park as the forward blasted the Englishman’s tactics.
Vlasic said: "Everything changed after Koeman left. The football played under Big Sam was awful, if it could even be called football.
“In such football I do not have a place. The football team was terrified by everything – the fans mostly.”
Vlasic went on to predict that he would not be recalled as an Everton player again.
The 21-year-old suggested Everton would look to replicate Tottenham and bring promote players from within the club.
This comes after The Toffee's club spent £90m this summer on Richarlison, Yerry Mina and Lucas Digne.
Vlasic added: “Everton spent about 100 million pounds on reinforcements last summer. Only three players – Richarlison, Mina, and Digne – paid around 90 million.
“Everton is looking for big names and players from big clubs, like Barcelona, and so will, in my opinion, be found.
“Despite these huge investments, the team is currently in the 11th place, which means it will seek new big purchases because I know that they have decided firmly to try to be the new Tottenham to join the biggest clubs in the league.
“It is logical that it will be difficult for me to see a player with whom he will attack one of the top six places in the Premiership.
“For that, they will seek new reinforcements of 50 million pounds. So I expect them to sell me as soon as they receive the first offer that suits them.”
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