However, the 19-year-old insists he is focused on Dortmund and nothing else.
And McBride has encouraged Pulisic to move somewhere that would place greater emphasis on a rapid, attacking style aligning closer with the style espoused by his current employers.
'Of course, right now I am under contract with Dortmund and I'm not looking around or doing anything like that so I'm very focused there.
However, Manchester United manager Jose Mourinho is interested in bringing the pacey winger to Old Trafford, to additionally strengthen his attacking ranks despite signing Alexis Sanchez from Arsenal earlier this winter.
Look Arsenal just the tonic for Wenger
The former Gunners defender told the Daily Mail : "I originally likened them to [Dennis] Bergkamp and [Marc] Overmars". Santi was an exceptional football player. "He will be a bit sharper on Saturday than he was last week", Wenger said .
Dortmund are fourth in the Bundesliga and among several clubs chasing the three remaining Champions League spots, with Bayern Munich already 18 points clear of second-place Bayer Leverkusen and Dortmund one point behind them.
"[The transfer window] was definitely kind of a whirlwind", Pulisic said.
McBride, who scored 37 Premier League goals during six seasons in England, was keen to stress the importance of Pulisic moving to a team that will suit his style of play.
After breaking into the first team at Dortmund this year, Pulisic has done nothing but impress scouts worldwide (damn shame we won't see him in the World Cup this year - talk about a coming out party).
"He shows that. But, what I think you guys really don't know is just how nice of a character he is and how much he cares and how hard he works". "I've kind of had a ideal balance of that and I've just been able to go through it all with the people I love".