您需要稍微处理引擎盖下发生的过滤，Mui提供了一个createFilterOptions方法，您可以使用如下：

import { Autocomplete, TextField, createFilterOptions } from "@mui/material";

export default function App() {

// create your filer options here
  const filterOptions = createFilterOptions({
    matchFrom: "start",
    stringify: (option) => option
  });
  
  return (
    <Autocomplete
      id="free-solo-demo"
      freeSolo
      options={["agropoli", "london", "parlament"]}
      filterOptions={filterOptions} // use them here
      onChange={(event, value) => setSearch(value)}
      renderInput={(params) => (
        <TextField
          {...params}
          error={weatherData?.error ? true : false}
          fullWidth
          label="name your city here..."
          value={search}
          onChange={(e) => {
            setSearch(e.target.value);
          }}
          ref={inputField}
          onKeyDown={(e) => e.key === "Enter" && handleSubmit(e)}
        />
      )}
    />
  );
}