With Liverpool 1-0 up, the Uruguayan laid on the Reds second for new signing Iago Aspas late in the match.
After the game Liverpool manager Brendan Rodgers said: "There's nothing new to report, he [Suarez] is very much a Liverpool player and over the course of the next couple of weeks we've got to get him up to speed."
Rodgers did, however, remind Suarez of the debt he feels the player owes the Liverpool fans who have stood by him after two seasons of controversy.
"The support he has received from the supporters and the people of the city of Liverpool has been unrivalled," Rodgers added.
"In this period of time he's missed a lot of games for the club through various reasons. The people have stood by him like a son and really looked after him. Whatever happens in the coming weeks that will be in his mind because it's something you can never forget."
Arsenal's record buys
Jose Antonio Reyes (Sevilla) £17.5m
Santi Cazorla (Malaga) £16m
Andrey Arshavin (Zenit St Petersburg) £15m
Sylvain Wiltord (Bordeaux) £13m
Thierry Henry (Juventus) £11m
Liverpool have now
turned down two offers
from the Gunners, who are keen to boost their attacking options, while Real Madrid, now managed by Carlo Ancelotti, also remain interested in the player but have yet to make a formal offer.
Following Arsenal's most recent approach, a post on Liverpool owner
John Henry's Twitter page
read: "What do you think they're smoking over there at Emirates?"
It is unclear whether Henry is talking about Arsenal's attempts to sign Suarez or their valuation of the player.
While Liverpool remain
determined to keep Suarez,
who scored 30 goals for the club in 44 appearances last season, their resolve is likely to be tested if the bids continue to rise. Should Arsenal persist and have an improved bid accepted, it would more than double their previous highest initial outlay on a transfer.
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