The striker joined Arsenal after leaving Sporting Lisbon this summer
Gunners striker the Swedish attacker has been omitted in the new manager's first Swedish national team selection, whereas Reds striker the talented attacker has earned a place
The Arsenal forward is set for more medical tests in the coming days following fears he sustained a hamstring injury during Arsenal's English top flight victory at Burnley last weekend
The 27-year-old was absent from Arsenal' European win versus the Czech side earlier this week
Isak, who hasn't featured since late October due to a groin problem, was selected to play in the World Cup games versus Switzerland (15 November) plus Slovenia (November 18th)
Both athletes were included in the Premier League contingent named by former Brighton, Chelsea and West Ham manager the new Swedish coach
The English manager was named by Sweden first for an interim period on 20 October, under four weeks after his departure by West Ham
Previous manager the Danish coach was fired following the national team's 1-0 loss against the Kosovan team on 13 October, a result that ended automatic qualification in qualifying group out of reach
The Swedish team are currently last place of their qualifying group with only a single point from four matches
Should they don't manage to finish second, they could still take part in the secondary qualification because of their results during the previous Nations League