It’s reported that Jenkinson would be available for just £5m with the defender looking certain to leave the Emirates.
He made just eight appearances under Unai Emery last term and has previously had loan spells with West Ham and Birmingham.
Arsenal may be keen to sell with Emery looking to boost his transfer budget.
The Spaniard is believed to have just £45m to spend this summer, however that may be raised with future sales.
Arsenal star wanted by Crystal Palace as Gunners look to complete Wilfried Zaha transfer (Image: GETTY)
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Arsenal star wanted by Crystal Palace as Gunners look to complete Wilfried Zaha transfer (Image: GETTY)
While Crystal Palace want an Arsenal star, the Gunners are also keen to prise Wilfried Zaha from Selhurst Park.
Recent reports suggested Arsenal had made a £40m bid for the former Manchester United winger.
However Crystal Palace rate Zaha at £80m and are keen to keep hold of the star.
But Zaha’s brother Judicael has admitted a switch to north London is a “dream” for the Ivory Coast star.
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Arsenal star wanted by Crystal Palace as Gunners look to complete Wilfried Zaha transfer (Image: GETTY)
Judicael said: "Wilfried will always hold Crystal Palace and their fans in the highest regard and all the support they've given means the world to him.
"It's my brother's dream though to play for Arsenal.
"Given all Wilfried has given to Palace to help them remain a Premier League club, I hope Palace will be able to see their way to agreeing a deal with Arsenal that allows Wilfried to realise his dream of playing European football for the club he's supported since childhood."