Enrique made the move over to the Premier League in 2007 with Newcastle - costing around £6million - following spells at Levante, Valencia, Celta Vigo and Villarreal.
The Spaniard’s impressive performances at St James’ Park caught the eye of Liverpool and he joined the Reds four years later in a £7m deal.
The 31-year-old returned to Spain last summer for a season at Real Zaragoza but retired from football earlier this month due to a persistent knee injury.
And now the former left-back has confirmed speculation that he snubbed a move to Arsenal to join Liverpool in 2011 - and again during his time at Anfield.
Arsenal tried to sign Jose Enrique at Liverpool and Newcastle
Enrique was asked on Twitter by a journalist: "Wish you all the best after retirement.
"Great Premier League player. Question for you: Did Arsenal ever approach you at #NUFC?"
And Enrique responded: "Thanks a lot for your message.
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"Yes they did mate the same summer I went to Liverpool and when I play for Liverpool too. Twice they did."
Arsenal instead signed Enrique’s Spanish compatriot Nacho Montreal from Malaga in the summer of 2013 for around £8m.
Enrique racked up 228 appearances during his time in England, helping Liverpool to a record eighth League Cup in the 2011/12 campaign.