The Honduras international has been linked with a "dream" switch to the Emirates Stadium in the past week.
Najar, 22, has made huge strides since joining Anderlecht from MLS side D.C. United in 2013, establishing himself as a regular for both the Belgian champions and Honduras national team.
His promising performances have not gone unnoticed across Europe and HLN have reported this week that Arsenal are now tracking his progress ahead of a potential summer approach.
The 2010 MLS Rookie of the Year even has experience of starring at the Emirates, having opened the scoring in October’s narrow 2-1 Champions League defeat, and has since revealed that a switch to the Gunners would be is dream move.
“Arsenal – it is my dream,” he told La Pensa last month. “I keep that in mind because ever since I was little I loved Thierry Henry. While he was playing for Arsenal, I always had this dream of joining them.
“When I scored [at the Emirates], I celebrated with everything and noted that it was at Arsenal – my future team.”
However, while agent Chris Megaloudis believes Najar has the talent to star at the Premier League level, he stresses that it still might be too soon for a move to either Arsenal or another top four club.
The 23-times capped midfielder does have options in England and Spain on the table but, given that he is more than content with life at Champions League regulars Anderlecht, he won’t be leaving for a club who aren’t competing for European football.
“I think he has enough talent to play in England, Italy or Spain,” said Megaloudis. “But the catch with the Premier League is that Andy will not accept a transfer to a club that is fighting relegation, when he is with the largest in Belgium. If he wants to play in the Premier League, he must continue to impress with his current team for now.
“Every player always wants to play at the highest level but we cannot say that he is able to play for Manchester City, Chelsea or Arsenal because we know that these clubs are immense.
“But if Andy is playing in the Champions League then it is not worth moving to another club that is not competing in this competition. Any transfer must be to a club that matches this level.
“There are offers from clubs in England and Spain, among other important leagues in Europe, but for now we do not take decisions.”
Najar has had a brief taste of Premier League life in the past, having trained with Tottenham Hotspur in December 2011, when the likes of Garth Bale and Rafael van der Vaart took him under his wing during a two-week stint.
The emerging wide man, who has also been used at right-back on frequent occasions, was linked with a £4 million move to Spurs this winter, per the Daily Star, but it remains to be seen whether the club will renew their interest in the coming months.