Ryan Nelsen believes West Ham have issued a statement of intent by tying Winston Reid to a new deal.
Tottenham are keen for striker Shaquile Coulthirst to continue his development out on loan after his spell at Southend.
Suarez was signed from Celta Vigo in May 2011, but only made two appearances for City during his time at the club.
The 19-year-old made was a regular for City's elite development squad and made his first-team debut when he came off the bench in a League Cup victory over Wolves in October 2011.
His only other appearance for City was in the 4-2 defeat to Aston Villa in the same competition last season.