Lingard is a free agent after his contract with South Korean club FC Seoul expired.
According to Goal on Thursday, the former England international could be an exciting addition to Wrexham's ambitious project as they chase promotion to the Premier League.
The North Wales club is owned by two Hollywood stars, Ryan Reynolds and Rob McElhenney, who continue to build the team with a big vision.
At 33, Lingard has no intention of hanging up his boots. After enjoying his playing experience in South Korea, he feels he still has plenty to offer at the competitive level.
