Arsenal and PSG are also among the clubs to have been linked with the Italian.
The highly-rated duo got on the scoresheet for Warren Joyce's team at Carrington.
Arsenal boss is refusing to write off his side's chances despite losing ground to Leicester.
Blues need to turn around the 2-1 defeat at the Parc des Princes last month.
The 48-year-old Italian has been repeatedly linked with the vacant managerial position at Stamford Bridge.
Coutinho came off the bench after an hour while Sturridge did not feature at all against Palace.
Boss also backed Arsene Wenger despite recent criticism of Gunners' form collapse.
The 45-year-old pundit has questioned whether the group are playing for their manager.
Jason Cundy discusses Chelsea vs PSG, Antonio Conte and an anonymous Brazilian striker.
Gabriel Paulista spoke with IBTimes UK following the 2-2 draw at Tottenham.
Luis Enrique's side are chasing five different records to cap a remarkable season.
Anthony Martial has already scored 10 goals for Manchester United in all competitions this season.
Reports have claimed Cuadrado could be handed another chance in the Premier League under Conte.
Spurs boss says he will consider resting Alli during the Premier League title run-in.
The 48-year-old manager was persuaded against signing the unnamed player because of his behaviour.
The 25-year-old thinks the Gunners should have taken all three points at White Hart Lane.
Gareth Bale may start match after playing some minutes in the 7-1 win over Celta Vigo.
The 28-year-old defender left the Blues to join the French outfit in a big-money move in 2014.
The 25-year old star has underlined his commitment to the Anfield club.
Emails and texts by Mourinho could be made public should hearing fail to reach a conclusion.
The 18 year-old winger is proving to be a sensation in Ligue 1.
Pereira has been named in friendlies ahead of a decision on the final Brazil squad for the Olympics.
Alex Iwobi to be part of squad for FA Cup fifth round replay at the KC Stadium.
The former Chelsea star hopes to repay the fans with a Europa League victory over Liverpool.
Welsh forward returned to action from calf injury on 5 March, scoring in Real's 7-1 win over Celta Vigo.
Christian Benteke netted from the spot to give Liverpool controversial win at Selhurst Park.
Zinedine Zidane's side look to seal progress to the Champions League quarter-finals at the Santiago Bernabeu. Find out where to watch the match live in the UK.
Chelsea captain John Terry has been sidelined with a hamstring injury for close to a month.
Arsenal have lost three and not won any of their last five fixtures in all competitions.
Odion Ighalo has scored 14 goals this season in the league, more than any other player in the Arsenal ranks.