The players were divided into three groups when the national team gathered at Friends arena after a free national day.
One group participated in the entire training, one stepped down according to individual needs and another devoted only to rehabilitation training.
Started two straight matches
Isaac belonged to the third group.
The striker started against both Slovenia (2-0) on Thursday and against Norway (1-2) on Sunday, but has been a question mark ahead of Thursday night's meeting with Serbia at home at the national arena in Solna.
Injured national team
According to Green, he is up for games.
The national team squad has been badly injured since the national team captain Janne Andersson announced his squad two weeks ago.
Several players - with team captain Victor Nilsson Lindelöf in the lead - resigned before and at the beginning of the collection.
Papagiannopoulos included
The latest to leave the squad was midfielder Alexander Milosevic.
His replacement, teammate in AIK Sotirios Papagiannopoulos, was called in at the end of last week and on Tuesday, IFK Norrköping's striker Christoffer Nyman and defender Daniel Sundgren, Aris Thessaloniki, hurriedly checked into the player hotel.
Both participated in the training.
The national team is not only badly injured before the Serbia match.
Dejan Kulusevski and Emil Krafth also miss the match, both are suspended.