The Uruguayan international striker shares the award with Real Madrid star Cristiano Ronaldo (who will receive his reward in a separate event on 6 November) as the joint-top goalscorers in the European leagues last season, after Suarez netted 31 Premier League goals for Liverpool before completing his move to Barcelona.
The former Anfield hero wanted to share the award with his ex-club and he convinced Liverpool legend Kenny Dalglish to take part in the ceremony.
However, as Gerrard was unable to fly to Spain, he sent a message to Suarez via a video.
"You were a magical player at Liverpool. Barça are lucky. Good luck for the future, mate. We miss you very much, all the best," Gerrard said.
"I'm sorry I can't be with Luis today but I would like to congratulate him from everyone here at Liverpool."
The Barcelona star responded to his former captain and thanked his former teammates for the award, claiming he would not have won it without their support.
"I wouldn't have won this trophy if it wasn't for the teammates. Anxious to return? It's getting closer, I'm very motivated," Suarez said.
The Uruguayan enyoyed his best season as a footballer at Anfield last season but opted to move to La Liga in the summer, swapping Liverpool for Barcelona in a £65m deal.
Suarez is banned from competitive action for four months after biting Giorgio Chiellini during a World Cup match against Italy, meaning the Uruguayan international is yet to make his official debut for Barcelona.
The striker has claimed he has been training hard to be ready for his debut, which is likely to be in the La Liga Clasico against Real Madrid on 25 October.
"I'm ready to play, it's up to the coach to decide. It would be something special to make my debut against Madrid," Suarez said.
"Adapting? I just think about having good time. I joined the club I always wanted to play at, I thank Barça for fulfilling my dream."
Suarez has already played a couple of friendlies for the Catalans while on Monday 13 October, he scored a brace during Uruguay's 3-0 victory over Oman.
He said: "Before playing the last two games with Uruguay, I wasn't so sure, but now I can say that I'm 100% ready."