The Benin international, who has scored three goals in six games for his country, has stolen the limelight from Jordan Rhodes in the Blackburn attack this season.
With 12 goals in just 23 appearances in the Championship, Gestede has established himself as one of the most dangerous strikers in the second tier.
Unsurprisingly though, the former Cardiff City striker is attracting reported interest from Premier League clubs as teams look to add goals in the January transfer window.
Reports earlier today from Sky Sports suggested that Hull City were close to agreeing a deal with Rovers over the signing of Gestede, whilst the Daily Mirror speculated earlier this week that new West Bromwich Albion manager Tony Pulis wanted to sign Gestede.
Now though, ESPN allege that Palace are willing to pay £4.5m to land Gestede this month, as Pardew looks to bring some firepower to Selhurst Park.
A loan deal for Arsenal youngster Yaya Sanogo has already been completed, but their pursuit of Swansea City striker Bafetimbi Gomis has hit a dead end after the Swans sold Wilfried Bony to Manchester City this week.
It's clear that Pardew wants to sign a striker with strength and the ability to hold the ball up, and those are two attributes that Gestede can certainly provide having played something of a target man role for Blackburn under Gary Bowyer at Ewood Park.
All three Premier League teams now allegedly interested in Gestede are battling relegation, and if Palace can sign him ahead of their rivals, that would be a huge psychological boost to the Eagles.