open and responsive to influence or suggestion
amenable - agreeable
To be ‘amenable’ can be both a positive and a negative. An amenable person gets on well with others and is willing to listen to suggestions other than their own. However, they can also be easily controlled or influenced which can lead to manipulation and weak decision making. The word is often followed by the preposition ‘to’.
I think you can get him to reverse that decision. He's quite amenable.
She might be more amenable to the idea of lending you money if you gave her a time frame for repayment.
To her credit, my boss was amenable to my suggestions even though she was not under any obligation to listen to me.