Reports earlier this week suggested Mauricio Pochettino had convinced Coutinho to join the Lilywhites before they pulled the plug, though.
It's been reported a couple of times over the past few days the Red Devils have been in talks with Spurs for the Denmark worldwide, but nothing has suggested those negotiations are leading anywhere.
Liverpool, Arsenal, Manchester United and Tottenham are rumoured to be interested, though with the English transfer window shutting on Thursday any deal would have to move swiftly.
Pique said in a press conference: 'I want him (Coutinho) to stay, but at the end of the day it's what he wants and I want him to be happy. "He's a splendid player, but we haven't talked about Coutinho at any time". "But it's not my decision, it's the club's and Philippe's".
"But he is a player who is with us and we have him, of course".
If this move happens then it will obviously be a top signing for Arsenal but it has also created a few doubts in the fans mind since Unai Emery will have to sacrifice a forward player in order to accommodate the Brazilian.