Real Madrid remain unbeaten this term, having now won five and drawn one of their first six matches in all competitions under returning coach Carlo Ancelotti
His second tenure was fraught with tension, which came to a head in an unusually fiery press conference in February when he demanded more respect for his team.
The one marquee signing the club made in Zidane's second spell was Eden Hazard, who has been unable to shine due to a hapless run with injuries.
The Frenchman, who has won three Champions League trophies and two La Liga titles in two spells as Real coach, could find his future under threat should Real end the season trophyless.
"Let's just finish this season. What I will say is that I'll make things easy for the club, always, because they've always given me everything," Zidane told a news conference on Saturday.
Local media reported that the defender could miss the European fixture next Wednesday as well as the La Liga title run-in as Real attempt to defend their league crown.
Real, who sit two points behind league leaders Atletico on 71 points and face Osasuna on Saturday, have not put a timescale on Carvajal's return.
"I'm here for the game. Everyone has their opinion but I'm not here to talk about that. I'll talk about the game tomorrow, the league, the Champions League - the rest isn't my job.
"You can say I'm sitting on the fence, and that's fine. Because what I like doing is coach, that's it."
Liverpool famously overcame a 3-0 first leg deficit to beat Barcelona 4-0 in the second leg of their Champions League semi-final on route to winning the competition for a sixth time in 2019.
"When you are 3-1 down it looks like we are already out - it means we have not a lot to lose. The result showed they were better than us but it's only the first half," Klopp told reporters.
"Football is football, anything is possible," Klopp added on the possibility of a comeback. "We speak about results but for me, the performance is much more important. We have to play like ourselves.
Real Madrid, who have topped the list five times in the past, edged Barcelona 2-1 in 'El Clasico' on Saturday but find themselves second best off the pitch with a valuation of $4.75 billion.
"The pain is far from over, with a worsening decline in matchday revenue during the current season, as most of the teams in Europe's top leagues still permit few fans to attend games," wrote Forbes' assistant managing editor Mike Ozanian.
The Barca captain's contract expires this summer and his futures is up in the air having been linked with a move away ever since his attempts to leave the club last summer were unsuccessful.
"I hope it's not (Messi's last Clasico), I want him to stay at Barcelona, it's good for the Spanish league," Zidane told a news conference.