Ex-United midfielder Nicky Butt said on The Good, The Bad & The Football podcast that Erling Haaland would "pick Martinez up and run with him" and treat the Argentine like a "little toddler", while United legend Paul Scholes stated the City centre-forward would "throw him in the net" after scoring.
Asked about Scholes' comment, Lisandro said: "Honestly, he can say whatever he wants. I told him already, if he wants to say something to me, he can come to wherever he wants. To my house, wherever. I don't care.
"And I think for me, I respect the relations when they want to help the club because everyone can talk on the television, but when you see (them) here face to face, no-one says anything in your face.
"So for me, I don't really care what they say. I just put the focus on my performance, the performance of the team and I give everything to this club until my last day."
On the fans at Old Trafford yesterday, Lisandro added: "It is about the connection. It's about how we represent them on the pitch. If they see us fighting, they will be with us.
"If sometimes our performance wasn't the best, because they expect a good attitude from us, tackles, the DNA, the blood of Manchester United.
"And I can really understand because sometimes it's like 'what are we doing here?'"